Greatest Common Factor of 954/26, 957/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 954/26, 957/169

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 954/26,957/169

Given fractions are 954/26,957/169

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 954,957

Greatest Common Factor of Numerators i.e. GCF of 954,957 is 3 .

LCM of Denominators means LCM of 26,169 as per the given fractions.

LCM of 26,169 is 338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 954,957

GCF of Fractions 954/26,957/169 is 3/338

3 954, 957
318, 319

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

Greatest Common Factor of 954,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,957 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 957

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

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

Greatest Common Factor

We found the factors 954,957 . The biggest common factor number is the GCF number.
So the greatest common factor 954,957 is 3.

Lets's calculate LCM of 26,169

13 26, 169
2, 13

∴ So the LCM of the given numbers is 13 x 2 x 13 = 338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/338

Therefore, the GCF of Fractions 954/26,957/169 is 3/338

Least Common Multiple of 26,169 with GCF Formula

Least Common Multiple of 26,169 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 26,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,169) = 13

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

GCF(26,169) x common factors =13 x 1 = 13

LCM(26,169) = ( 26 × 169 ) / 13

LCM(26,169) = 4394 / 13

LCM(26,169) = 338


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 954/26, 957/169

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 954/26, 957/169?

Answer: GCF of Numerators as per given numbers 954/26, 957/169 is

GCF of Numerators i.e. for 954,957 is 3

LCM of denominators i.e. for 26,169 is 338.

Thus, GCF of Fractions is 3/338.Finally, GCF of Fractions for 954/26, 957/169 is 3/338.