Greatest Common Factor of 961/35, 372/4142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 961/35, 372/4142

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 961/35,372/4142

Given fractions are 961/35,372/4142

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 961,372

Greatest Common Factor of Numerators i.e. GCF of 961,372 is 31 .

LCM of Denominators means LCM of 35,4142 as per the given fractions.

LCM of 35,4142 is 144970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 961,372

GCF of Fractions 961/35,372/4142 is 31/144970

31 961, 372
31, 12

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 961,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,372 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 961,372 . The biggest common factor number is the GCF number.
So the greatest common factor 961,372 is 31.


Lets's calculate LCM of 35,4142

Given numbers has no common factors except 1. So, there LCM is their product i.e 144970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/144970

Therefore, the GCF of Fractions 961/35,372/4142 is 31/144970

Least Common Multiple of 35,4142 with GCF Formula

Least Common Multiple of 35,4142 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 35,4142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,4142) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(35,4142) x common factors =1 x 1 = 1

LCM(35,4142) = ( 35 × 4142 ) / 1

LCM(35,4142) = 144970 / 1

LCM(35,4142) = 144970


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 961/35, 372/4142

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 961/35, 372/4142?

Answer: GCF of Numerators as per given numbers 961/35, 372/4142 is

GCF of Numerators i.e. for 961,372 is 31

LCM of denominators i.e. for 35,4142 is 144970.

Thus, GCF of Fractions is 31/144970.Finally, GCF of Fractions for 961/35, 372/4142 is 31/144970.