Greatest Common Factor of 714/7458, 844/7310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 714/7458, 844/7310

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 714/7458,844/7310

Given fractions are 714/7458,844/7310

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 714,844

Greatest Common Factor of Numerators i.e. GCF of 714,844 is 2 .

LCM of Denominators means LCM of 7458,7310 as per the given fractions.

LCM of 7458,7310 is 27258990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 714,844

GCF of Fractions 714/7458,844/7310 is 2/27258990

2 714, 844
357, 422

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 714,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,844 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 714,844 . The biggest common factor number is the GCF number.
So the greatest common factor 714,844 is 2.

Lets's calculate LCM of 7458,7310

2 7458, 7310
3729, 3655

∴ So the LCM of the given numbers is 2 x 3729 x 3655 = 27258990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27258990

Therefore, the GCF of Fractions 714/7458,844/7310 is 2/27258990

Least Common Multiple of 7458,7310 with GCF Formula

Least Common Multiple of 7458,7310 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 7458,7310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7458,7310) = 2

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

GCF(7458,7310) x common factors =2 x 1 = 2

LCM(7458,7310) = ( 7458 × 7310 ) / 2

LCM(7458,7310) = 54517980 / 2

LCM(7458,7310) = 27258990


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 714/7458, 844/7310

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 714/7458, 844/7310?

Answer: GCF of Numerators as per given numbers 714/7458, 844/7310 is

GCF of Numerators i.e. for 714,844 is 2

LCM of denominators i.e. for 7458,7310 is 27258990.

Thus, GCF of Fractions is 2/27258990.Finally, GCF of Fractions for 714/7458, 844/7310 is 2/27258990.