Greatest Common Factor of 957/915, 975/764, 373/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 957/915, 975/764, 373/406

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 957/915,975/764,373/406

Given fractions are 957/915,975/764,373/406

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 957,975,373

Greatest Common Factor of Numerators i.e. GCF of 957,975,373 is 1 .

LCM of Denominators means LCM of 915,764,406 as per the given fractions.

LCM of 915,764,406 is 141909180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 957,975,373

GCF of Fractions 957/915,975/764,373/406 is 1/141909180

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 957,975,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,975,373 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 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors 957,975,373 . The biggest common factor number is the GCF number.
So the greatest common factor 957,975,373 is 1.

Lets's calculate LCM of 915,764,406

2 915, 764, 406
915, 382, 203

∴ So the LCM of the given numbers is 2 x 915 x 382 x 203 = 141909180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141909180

Therefore, the GCF of Fractions 957/915,975/764,373/406 is 1/141909180

Least Common Multiple of 915,764,406 with GCF Formula

Least Common Multiple of 915,764,406 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 915,764,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(915,764,406) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(915,764,406) x common factors =1 x 2 = 2

LCM(915,764,406) = ( 915 × 764 × 406 ) / 2

LCM(915,764,406) = 283818360 / 2

LCM(915,764,406) = 141909180


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 957/915, 975/764, 373/406

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 957/915, 975/764, 373/406?

Answer: GCF of Numerators as per given numbers 957/915, 975/764, 373/406 is

GCF of Numerators i.e. for 957,975,373 is 1

LCM of denominators i.e. for 915,764,406 is 141909180.

Thus, GCF of Fractions is 1/141909180.Finally, GCF of Fractions for 957/915, 975/764, 373/406 is 1/141909180.