Greatest Common Factor of 7790/249, 5670/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7790/249, 5670/971

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 7790/249,5670/971

Given fractions are 7790/249,5670/971

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 7790,5670

Greatest Common Factor of Numerators i.e. GCF of 7790,5670 is 10 .

LCM of Denominators means LCM of 249,971 as per the given fractions.

LCM of 249,971 is 241779 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7790,5670

GCF of Fractions 7790/249,5670/971 is 10/241779

2 7790, 5670
5 3895, 2835
779, 567

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 7790,5670 By Matching Biggest Common Factor Method

Greatest Common Factor of 7790,5670 By Matching Biggest Common Factor Method

Factors of 7790

List of positive integer factors of 7790 that divides 7790 without a remainder.

1,2,5,10,19,38,41,82,95,190,205,410,779,1558,3895,7790

Factors of 5670

List of positive integer factors of 5670 that divides 5670 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,81,90,105,126,135,162,189,210,270,315,378,405,567,630,810,945,1134,1890,2835,5670

Greatest Common Factor

We found the factors 7790,5670 . The biggest common factor number is the GCF number.
So the greatest common factor 7790,5670 is 10.

Lets's calculate LCM of 249,971

Given numbers has no common factors except 1. So, there LCM is their product i.e 241779

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/241779

Therefore, the GCF of Fractions 7790/249,5670/971 is 10/241779

Least Common Multiple of 249,971 with GCF Formula

Least Common Multiple of 249,971 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 249,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,971) = 1

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

GCF(249,971) x common factors =1 x 1 = 1

LCM(249,971) = ( 249 × 971 ) / 1

LCM(249,971) = 241779 / 1

LCM(249,971) = 241779


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 7790/249, 5670/971

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 7790/249, 5670/971?

Answer: GCF of Numerators as per given numbers 7790/249, 5670/971 is

GCF of Numerators i.e. for 7790,5670 is 10

LCM of denominators i.e. for 249,971 is 241779.

Thus, GCF of Fractions is 10/241779.Finally, GCF of Fractions for 7790/249, 5670/971 is 10/241779.