what is the hcm of 4\5, 3\4, 5\8,2\3 ?
Are you looking for the common denominator?
I think it's 120.
To find the highest common factor (HCF) of the given numbers, you can use the method of prime factorization. Here's how to do it:
Step 1: Prime Factorization
Start by expressing each number as a product of its prime factors:
4/5 = 2^2 / 5
3/4 = 3 / 2^2
5/8 = 5 / 2^3
2/3 = 2 / 3
Step 2: Identify Common Prime Factors
Look for the common prime factors in all the numbers. In this case, the only common prime factor is 2.
Step 3: Determine the HCF
Take the smallest exponent of the common prime factor (2 in this case) and multiply it:
HCF = 2^min(2, 2, 3, 0) = 2^0 = 1
Therefore, the highest common factor (HCF) of 4/5, 3/4, 5/8, and 2/3 is 1.