Greatest Common Factor of 655/952, 1129/7021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 655/952, 1129/7021

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 655/952,1129/7021

Given fractions are 655/952,1129/7021

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 655,1129

Greatest Common Factor of Numerators i.e. GCF of 655,1129 is 1 .

LCM of Denominators means LCM of 952,7021 as per the given fractions.

LCM of 952,7021 is 56168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 655,1129

GCF of Fractions 655/952,1129/7021 is 1/56168

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

Greatest Common Factor of 655,1129 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,1129 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 1129

List of positive integer factors of 1129 that divides 1129 without a remainder.

1,1129

Greatest Common Factor

We found the factors 655,1129 . The biggest common factor number is the GCF number.
So the greatest common factor 655,1129 is 1.

Lets's calculate LCM of 952,7021

7 952, 7021
17 136, 1003
8, 59

∴ So the LCM of the given numbers is 7 x 17 x 8 x 59 = 56168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56168

Therefore, the GCF of Fractions 655/952,1129/7021 is 1/56168

Least Common Multiple of 952,7021 with GCF Formula

Least Common Multiple of 952,7021 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 952,7021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,7021) = 119

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

GCF(952,7021) x common factors =119 x 1 = 119

LCM(952,7021) = ( 952 × 7021 ) / 119

LCM(952,7021) = 6683992 / 119

LCM(952,7021) = 56168


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 655/952, 1129/7021

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 655/952, 1129/7021?

Answer: GCF of Numerators as per given numbers 655/952, 1129/7021 is

GCF of Numerators i.e. for 655,1129 is 1

LCM of denominators i.e. for 952,7021 is 56168.

Thus, GCF of Fractions is 1/56168.Finally, GCF of Fractions for 655/952, 1129/7021 is 1/56168.