Greatest Common Factor of 8794/702, 1880/7647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8794/702, 1880/7647

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 8794/702,1880/7647

Given fractions are 8794/702,1880/7647

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 8794,1880

Greatest Common Factor of Numerators i.e. GCF of 8794,1880 is 2 .

LCM of Denominators means LCM of 702,7647 as per the given fractions.

LCM of 702,7647 is 1789398 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8794,1880

GCF of Fractions 8794/702,1880/7647 is 2/1789398

2 8794, 1880
4397, 940

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

Greatest Common Factor of 8794,1880 By Matching Biggest Common Factor Method

Greatest Common Factor of 8794,1880 By Matching Biggest Common Factor Method

Factors of 8794

List of positive integer factors of 8794 that divides 8794 without a remainder.

1,2,4397,8794

Factors of 1880

List of positive integer factors of 1880 that divides 1880 without a remainder.

1,2,4,5,8,10,20,40,47,94,188,235,376,470,940,1880

Greatest Common Factor

We found the factors 8794,1880 . The biggest common factor number is the GCF number.
So the greatest common factor 8794,1880 is 2.

Lets's calculate LCM of 702,7647

3 702, 7647
234, 2549

∴ So the LCM of the given numbers is 3 x 234 x 2549 = 1789398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1789398

Therefore, the GCF of Fractions 8794/702,1880/7647 is 2/1789398

Least Common Multiple of 702,7647 with GCF Formula

Least Common Multiple of 702,7647 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 702,7647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,7647) = 3

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

GCF(702,7647) x common factors =3 x 1 = 3

LCM(702,7647) = ( 702 × 7647 ) / 3

LCM(702,7647) = 5368194 / 3

LCM(702,7647) = 1789398


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 8794/702, 1880/7647

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 8794/702, 1880/7647?

Answer: GCF of Numerators as per given numbers 8794/702, 1880/7647 is

GCF of Numerators i.e. for 8794,1880 is 2

LCM of denominators i.e. for 702,7647 is 1789398.

Thus, GCF of Fractions is 2/1789398.Finally, GCF of Fractions for 8794/702, 1880/7647 is 2/1789398.