Question

what are the common factor of 75,60 and 120 ?​

Answer 1

Answer:

solve the HCF of 75,60,120

Step-by-step explanation:

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Answer 2

The common factors of 75, 60, and 120 are 1, 3, 5, and 15.

Given,

Three natural numbers are 75, 60, and 120.

To Find,

The common factors of the given numbers.

Solution,

The method of finding the common factors of 60, 75, and 120 is as follows –

We can factorize the given numbers into prime numbers.

$60=2*2*3*5=2^{2} *3*5$

$75=3*5*5=3*5^{2}$

$120=2*2*2*3*5=2^{3} *3*5$

So, we can tell the factors of 60-  1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.

The factors of 75-  1, 3, 5, 15, 25, and 75.

The factors of 120-  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.

So, the common factors of 75, 60, and 120 are 1, 3, 5, and 15.

Hence, the common factors of 75, 60, and 120 are 1, 3, 5, and 15.  

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