Greatest Common Factor of 957/25, 969/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 957/25, 969/683

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 957/25,969/683

Given fractions are 957/25,969/683

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 957,969

Greatest Common Factor of Numerators i.e. GCF of 957,969 is 3 .

LCM of Denominators means LCM of 25,683 as per the given fractions.

LCM of 25,683 is 17075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 957,969

GCF of Fractions 957/25,969/683 is 3/17075

3 957, 969
319, 323

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 957,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,969 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 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 957,969 . The biggest common factor number is the GCF number.
So the greatest common factor 957,969 is 3.

Lets's calculate LCM of 25,683

Given numbers has no common factors except 1. So, there LCM is their product i.e 17075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17075

Therefore, the GCF of Fractions 957/25,969/683 is 3/17075

Least Common Multiple of 25,683 with GCF Formula

Least Common Multiple of 25,683 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 25,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,683) = 1

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

GCF(25,683) x common factors =1 x 1 = 1

LCM(25,683) = ( 25 × 683 ) / 1

LCM(25,683) = 17075 / 1

LCM(25,683) = 17075


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 957/25, 969/683

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 957/25, 969/683?

Answer: GCF of Numerators as per given numbers 957/25, 969/683 is

GCF of Numerators i.e. for 957,969 is 3

LCM of denominators i.e. for 25,683 is 17075.

Thus, GCF of Fractions is 3/17075.Finally, GCF of Fractions for 957/25, 969/683 is 3/17075.