#### Chapters

Chapter 2: Angles

Chapter 3: Integers

Chapter 4: Operations on Fractions

Chapter 5: Decimal Fractions

Chapter 6: Bar Graphs

Chapter 7: Symmetry

Chapter 8: Divisibility

Chapter 9: HCF-LCM

Chapter 10: Equations

Chapter 11: Ratio and Proportion

Chapter 12: Percentage

Chapter 13: Profit – Loss

Chapter 14: Banks and Simple Interest

Chapter 15: Triangles and Their Properties

Chapter 16: Quadrilaterals

Chapter 17: Geometrical Constructions

Chapter 18: Three Dimensional Shapes

## Chapter 9: HCF-LCM

### Balbharati solutions for Mathematics 6th Standard Maharashtra State Board Chapter 9 HCF-LCM Practice Set 23 [Page 46]

**Write all the factor of the given number and list their common factor.**

12, 16

**Write all the factor of the given number and list their common factor. **

21, 24

**Write all the factor of the given number and list their common factor. **

25, 30

**Write all the factor of the given number and list their common factor. **

24, 25

**Write all the factor of the given number and list their common factor. **

56, 72

### Balbharati solutions for Mathematics 6th Standard Maharashtra State Board Chapter 9 HCF-LCM Practice Set 24 [Page 47]

**Find the HCF of the following number.**

45, 30

**Find the HCF of the following number.**

16, 48

**Find the HCF of the following number.**

39, 25

**Find the HCF of the following number.**

49, 56

**Find the HCF of the following number.**

120, 144

**Find the HCF of the following number.**

81, 99

**Find the HCF of the following number.**

24, 36

**Find the HCF of the following number.**

25, 75

**Find the HCF of the following number.**

48, 54

**Find the HCF of the following number.**

150, 225

If large square beds of equal size are to be made for planting vegetables on a plot of land 18 meters long and 15 meters wide, what is the maximum possible length of each bed?

Two ropes, one 8 meters long and the other 12 meters long are to be cut into pieces of the same length. What will the maximum possible length of each piece be?

The number of students of Std 6th and Std 7th who went to visit the Tadoba Tiger Project at Chandrapur was 140 and 196 respectively. The students of each class are to be divided into groups of the same number of students. Each group can have a paid guide. What is the maximum number of students there can be in each group ? Why do you think each group should have the maximum possible number of students?

At the Rice Research Centre at Tumsar, there are 2610 kg of seeds of the basmati variety and 1980 kg of the Indrayani variety. If the maximum possible weight of seeds has to be filled to make bags of equal weight what should be the weight of each bag? How many bags of each variety will there be?

### Balbharati solutions for Mathematics 6th Standard Maharashtra State Board Chapter 9 HCF-LCM Practice Set 25 [Page 50]

Find out the LCM of the following number: 9, 15

Find out the LCM of the following number: 2, 3, 5

Find out the LCM of the following number: 12, 28

Find out the LCM of the following number: 15, 20

Find out the LCM of the following number: 8, 11

**Solve the following problem.**

On the playground, if the children are made to stand for drill either 20 to a row or 25 to a row, all rows are complete and no child is left out. What is the lowest possible number of children in that school?

Veena has some beads. She wants to make necklaces with an equal number of beads in each. If she makes necklaces of 16 or 24 or 40 beads, there is no bead left over. What is the least number of beads with her?

An equal number of laddoos have been placed in 3 different boxes. The laddoos in the first box were distributed among 20 children equally, the laddoos in the second box among 24 children, and those in the third box among 12 children. Not a single laddoo was leftover. Then, what was the minimum number of laddoos in the three boxes altogether?

We observed the traffic lights at three different squares on the same big road. They turn green every 60 seconds, 120 seconds and 24 seconds. When the signals were switched on at 8 o’clock in the morning, all the lights were green. How long after that will all three signals turn green simultaneously again?

Given the fractions `13/45` and `22/75`. write their equivalent fractions with the same denominators and add the fractions.

## Chapter 9: HCF-LCM

## Balbharati solutions for Mathematics 6th Standard Maharashtra State Board chapter 9 - HCF-LCM

Balbharati solutions for Mathematics 6th Standard Maharashtra State Board chapter 9 (HCF-LCM) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board Mathematics 6th Standard Maharashtra State Board solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Mathematics 6th Standard Maharashtra State Board chapter 9 HCF-LCM are Concept of Divisor, Dividend, Highest Common Factor, Lowest Common Multiple.

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