Greatest Common Factor of 953/658, 2869/9653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 953/658, 2869/9653

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 953/658,2869/9653

Given fractions are 953/658,2869/9653

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 953,2869

Greatest Common Factor of Numerators i.e. GCF of 953,2869 is 1 .

LCM of Denominators means LCM of 658,9653 as per the given fractions.

LCM of 658,9653 is 907382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 953,2869

GCF of Fractions 953/658,2869/9653 is 1/907382

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

Greatest Common Factor of 953,2869 By Matching Biggest Common Factor Method

Greatest Common Factor of 953,2869 By Matching Biggest Common Factor Method

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Factors of 2869

List of positive integer factors of 2869 that divides 2869 without a remainder.

1,19,151,2869

Greatest Common Factor

We found the factors 953,2869 . The biggest common factor number is the GCF number.
So the greatest common factor 953,2869 is 1.

Lets's calculate LCM of 658,9653

7 658, 9653
94, 1379

∴ So the LCM of the given numbers is 7 x 94 x 1379 = 907382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/907382

Therefore, the GCF of Fractions 953/658,2869/9653 is 1/907382

Least Common Multiple of 658,9653 with GCF Formula

Least Common Multiple of 658,9653 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 658,9653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,9653) = 7

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

GCF(658,9653) x common factors =7 x 1 = 7

LCM(658,9653) = ( 658 × 9653 ) / 7

LCM(658,9653) = 6351674 / 7

LCM(658,9653) = 907382


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 953/658, 2869/9653

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 953/658, 2869/9653?

Answer: GCF of Numerators as per given numbers 953/658, 2869/9653 is

GCF of Numerators i.e. for 953,2869 is 1

LCM of denominators i.e. for 658,9653 is 907382.

Thus, GCF of Fractions is 1/907382.Finally, GCF of Fractions for 953/658, 2869/9653 is 1/907382.