Question

the product of two number is 96 and their lcm is 24 what is the hcf​

Answer 1

Hope my answer helps you :))

Answer 2

Answer:

Call those 2 numbers a and b .

Since gcd(a,b)=24 , are a and b both divisible by 24. And because \lcm(a,b)=96 , they are both smaller than or equal to 96. So a,b∈24,48,72,96 .

But the only couple (a,b) in those numbers that satisfies at gcd(a,b)=24 and \lcm(a,b)=96=24⋅4 , is (24,96

hope it helps you