Question
The HCF h of a and b is doubled when the first number is doubled and HCF is tripled when the second number is tripled. The HCF of which two below given numbers is 6h?
The correct answer is
2a, 3b
Write a=hA,b=hB with A,B coprime. The given HCFs force B even and A divisible by3. Thus gcd(2a,3b)=6h.
Was this answer helpful?
Important Questions from LCM and HCF
- The LCM of $3^3 \times 8^2 \times 13$, $3^2 \times 13^2 \times 16$ and $8^3 \times 13^2 \times 16^2$ is:
- The sum of two numbers is 80 and their L.C.M. is 558. What are the two numbers?
- The LCM of the numbers 6.3 and 0.07 is:
The HCF and LCM of two numbers are 11 and 330, respectively. If one of the numbers is 110, find the other one.
- The sum of two numbers is 57 and their L.C.M. is 812. What are the two numbers?
Need Expert Advice?
