Greatest Common Factor of 7790/208, 4355/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7790/208, 4355/882

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 7790/208,4355/882

Given fractions are 7790/208,4355/882

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 7790,4355

Greatest Common Factor of Numerators i.e. GCF of 7790,4355 is 5 .

LCM of Denominators means LCM of 208,882 as per the given fractions.

LCM of 208,882 is 91728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7790,4355

GCF of Fractions 7790/208,4355/882 is 5/91728

5 7790, 4355
1558, 871

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7790,4355 By Matching Biggest Common Factor Method

Greatest Common Factor of 7790,4355 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 4355

List of positive integer factors of 4355 that divides 4355 without a remainder.

1,5,13,65,67,335,871,4355

Greatest Common Factor

We found the factors 7790,4355 . The biggest common factor number is the GCF number.
So the greatest common factor 7790,4355 is 5.

Lets's calculate LCM of 208,882

2 208, 882
104, 441

∴ So the LCM of the given numbers is 2 x 104 x 441 = 91728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/91728

Therefore, the GCF of Fractions 7790/208,4355/882 is 5/91728

Least Common Multiple of 208,882 with GCF Formula

Least Common Multiple of 208,882 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 208,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,882) = 2

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

GCF(208,882) x common factors =2 x 1 = 2

LCM(208,882) = ( 208 × 882 ) / 2

LCM(208,882) = 183456 / 2

LCM(208,882) = 91728


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 7790/208, 4355/882

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 7790/208, 4355/882?

Answer: GCF of Numerators as per given numbers 7790/208, 4355/882 is

GCF of Numerators i.e. for 7790,4355 is 5

LCM of denominators i.e. for 208,882 is 91728.

Thus, GCF of Fractions is 5/91728.Finally, GCF of Fractions for 7790/208, 4355/882 is 5/91728.