Advertisements
Advertisements
प्रश्न
Two numbers are in the ratio 2 : 3 and their LCM is 180. What is the HCF of these numbers?
Advertisements
उत्तर
Let the first number be 2x and the second be 3x
∴ Their LCM = 2 × 3 × x
But given LCM = 180
∴ 2 × 3 × x = 180
`\implies` x = 30
First number = 2x = 2 × 30 = 60 = 2 × 2 × 3 × 5
Second number = 3x = 3 × 30 = 90 = 3 × 3 × 2 × 5
Now, HCF of 60 and 90 = 2 × 3 × 5 = 30
संबंधित प्रश्न
Consider the number 12n where n is a natural number. Check whether there is any value of n ∈ N for which 12n ends with the digital zero.
A merchant has 120 liters of oil of one kind, 180 liters of another kind and 240 liters of third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin?
Can two numbers have 16 as their HCF and 380 as their LCM? Give reason.
Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2m × 5n, where, m, n are non-negative integers.\[\frac{13}{125}\]
The product of two consecutive natural numbers is always ______.
The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is ______.
Statement A (Assertion): If product of two numbers is 5780 and their HCF is 17, then their LCM is 340.
Statement R (Reason): HCF is always a factor of LCM.
Show the 6n cannot end with digit 0 for any natural number 'n'.
(HCF × LCM) for the numbers 30 and 70 is ______.
The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is ______.
