Greatest Common Factor of 1813/970, 5949/6356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1813/970, 5949/6356

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 1813/970,5949/6356

Given fractions are 1813/970,5949/6356

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 1813,5949

Greatest Common Factor of Numerators i.e. GCF of 1813,5949 is 1 .

LCM of Denominators means LCM of 970,6356 as per the given fractions.

LCM of 970,6356 is 3082660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1813,5949

GCF of Fractions 1813/970,5949/6356 is 1/3082660

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

Greatest Common Factor of 1813,5949 By Matching Biggest Common Factor Method

Greatest Common Factor of 1813,5949 By Matching Biggest Common Factor Method

Factors of 1813

List of positive integer factors of 1813 that divides 1813 without a remainder.

1,7,37,49,259,1813

Factors of 5949

List of positive integer factors of 5949 that divides 5949 without a remainder.

1,3,9,661,1983,5949

Greatest Common Factor

We found the factors 1813,5949 . The biggest common factor number is the GCF number.
So the greatest common factor 1813,5949 is 1.

Lets's calculate LCM of 970,6356

2 970, 6356
485, 3178

∴ So the LCM of the given numbers is 2 x 485 x 3178 = 3082660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3082660

Therefore, the GCF of Fractions 1813/970,5949/6356 is 1/3082660

Least Common Multiple of 970,6356 with GCF Formula

Least Common Multiple of 970,6356 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 970,6356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,6356) = 2

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

GCF(970,6356) x common factors =2 x 1 = 2

LCM(970,6356) = ( 970 × 6356 ) / 2

LCM(970,6356) = 6165320 / 2

LCM(970,6356) = 3082660


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 1813/970, 5949/6356

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 1813/970, 5949/6356?

Answer: GCF of Numerators as per given numbers 1813/970, 5949/6356 is

GCF of Numerators i.e. for 1813,5949 is 1

LCM of denominators i.e. for 970,6356 is 3082660.

Thus, GCF of Fractions is 1/3082660.Finally, GCF of Fractions for 1813/970, 5949/6356 is 1/3082660.