Greatest Common Factor of 957/115, 1421/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 957/115, 1421/981

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 957/115,1421/981

Given fractions are 957/115,1421/981

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 957,1421

Greatest Common Factor of Numerators i.e. GCF of 957,1421 is 29 .

LCM of Denominators means LCM of 115,981 as per the given fractions.

LCM of 115,981 is 112815 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 957,1421

GCF of Fractions 957/115,1421/981 is 29/112815

29 957, 1421
33, 49

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 957,1421 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,1421 By Matching Biggest Common Factor Method

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 1421

List of positive integer factors of 1421 that divides 1421 without a remainder.

1,7,29,49,203,1421

Greatest Common Factor

We found the factors 957,1421 . The biggest common factor number is the GCF number.
So the greatest common factor 957,1421 is 29.

Lets's calculate LCM of 115,981

Given numbers has no common factors except 1. So, there LCM is their product i.e 112815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/112815

Therefore, the GCF of Fractions 957/115,1421/981 is 29/112815

Least Common Multiple of 115,981 with GCF Formula

Least Common Multiple of 115,981 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 115,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,981) = 1

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

GCF(115,981) x common factors =1 x 1 = 1

LCM(115,981) = ( 115 × 981 ) / 1

LCM(115,981) = 112815 / 1

LCM(115,981) = 112815


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 957/115, 1421/981

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 957/115, 1421/981?

Answer: GCF of Numerators as per given numbers 957/115, 1421/981 is

GCF of Numerators i.e. for 957,1421 is 29

LCM of denominators i.e. for 115,981 is 112815.

Thus, GCF of Fractions is 29/112815.Finally, GCF of Fractions for 957/115, 1421/981 is 29/112815.