Greatest Common Factor of 7854/731, 1279/7009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7854/731, 1279/7009

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 7854/731,1279/7009

Given fractions are 7854/731,1279/7009

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 7854,1279

Greatest Common Factor of Numerators i.e. GCF of 7854,1279 is 1 .

LCM of Denominators means LCM of 731,7009 as per the given fractions.

LCM of 731,7009 is 119153 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7854,1279

GCF of Fractions 7854/731,1279/7009 is 1/119153

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

Greatest Common Factor of 7854,1279 By Matching Biggest Common Factor Method

Greatest Common Factor of 7854,1279 By Matching Biggest Common Factor Method

Factors of 7854

List of positive integer factors of 7854 that divides 7854 without a remainder.

1,2,3,6,7,11,14,17,21,22,33,34,42,51,66,77,102,119,154,187,231,238,357,374,462,561,714,1122,1309,2618,3927,7854

Factors of 1279

List of positive integer factors of 1279 that divides 1279 without a remainder.

1,1279

Greatest Common Factor

We found the factors 7854,1279 . The biggest common factor number is the GCF number.
So the greatest common factor 7854,1279 is 1.

Lets's calculate LCM of 731,7009

43 731, 7009
17, 163

∴ So the LCM of the given numbers is 43 x 17 x 163 = 119153

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119153

Therefore, the GCF of Fractions 7854/731,1279/7009 is 1/119153

Least Common Multiple of 731,7009 with GCF Formula

Least Common Multiple of 731,7009 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 731,7009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,7009) = 43

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

GCF(731,7009) x common factors =43 x 1 = 43

LCM(731,7009) = ( 731 × 7009 ) / 43

LCM(731,7009) = 5123579 / 43

LCM(731,7009) = 119153


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 7854/731, 1279/7009

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 7854/731, 1279/7009?

Answer: GCF of Numerators as per given numbers 7854/731, 1279/7009 is

GCF of Numerators i.e. for 7854,1279 is 1

LCM of denominators i.e. for 731,7009 is 119153.

Thus, GCF of Fractions is 1/119153.Finally, GCF of Fractions for 7854/731, 1279/7009 is 1/119153.