Advertisements
Advertisements
Question
What is the greatest possible volume of a vessel that can be used to measure exactly the volume of milk in cans (in full capacity) of 80 litres, 100 litres and 120 litres?
Advertisements
Solution
This is a HCF related problem.
So, we need to find the HCF of 80, 100, 120
| 2 | 80 |
| 2 | 40 |
| 2 | 20 |
| 2 | 10 |
| 5 |
| 2 | 100 |
| 2 | 50 |
| 5 | 25 |
| 5 |
| 2 | 120 |
| 2 | 60 |
| 2 | 30 |
| 3 | 15 |
| 5 |
80 = 2 × 2 × 2 × 2 × 5
100 = 2 × 2 × 5 × 5
120 = 2 × 2 × 2 × 3 × 5
HCF of 80, 100 and 120 = 2 × 2 × 5 = 20
Volume of the vessel = 20 litres
APPEARS IN
RELATED QUESTIONS
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?
Find the HCF:
25, 40
Find the HCF:
57, 75, 102
Find the prime factor of the following numbers and find their LCM and HCF.
114, 76
Find the HCF of the numbers in each of the following, using the division method:
58, 70
Find the HCF of the following numbers: 20, 28, and 36.
G.C.D of any two prime numbers is __________
The HCF of 45 and 75 is _________
Find the HCF of the following numbers:
18, 60
The length, breadth, and height of a room are 825 cm, 675 cm, and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.
