Greatest Common Factor of 8782/392, 6166/7048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8782/392, 6166/7048

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 8782/392,6166/7048

Given fractions are 8782/392,6166/7048

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 8782,6166

Greatest Common Factor of Numerators i.e. GCF of 8782,6166 is 2 .

LCM of Denominators means LCM of 392,7048 as per the given fractions.

LCM of 392,7048 is 345352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8782,6166

GCF of Fractions 8782/392,6166/7048 is 2/345352

2 8782, 6166
4391, 3083

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

Greatest Common Factor of 8782,6166 By Matching Biggest Common Factor Method

Greatest Common Factor of 8782,6166 By Matching Biggest Common Factor Method

Factors of 8782

List of positive integer factors of 8782 that divides 8782 without a remainder.

1,2,4391,8782

Factors of 6166

List of positive integer factors of 6166 that divides 6166 without a remainder.

1,2,3083,6166

Greatest Common Factor

We found the factors 8782,6166 . The biggest common factor number is the GCF number.
So the greatest common factor 8782,6166 is 2.

Lets's calculate LCM of 392,7048

2 392, 7048
2 196, 3524
2 98, 1762
49, 881

∴ So the LCM of the given numbers is 2 x 2 x 2 x 49 x 881 = 345352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/345352

Therefore, the GCF of Fractions 8782/392,6166/7048 is 2/345352

Least Common Multiple of 392,7048 with GCF Formula

Least Common Multiple of 392,7048 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 392,7048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,7048) = 8

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

GCF(392,7048) x common factors =8 x 1 = 8

LCM(392,7048) = ( 392 × 7048 ) / 8

LCM(392,7048) = 2762816 / 8

LCM(392,7048) = 345352


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 8782/392, 6166/7048

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 8782/392, 6166/7048?

Answer: GCF of Numerators as per given numbers 8782/392, 6166/7048 is

GCF of Numerators i.e. for 8782,6166 is 2

LCM of denominators i.e. for 392,7048 is 345352.

Thus, GCF of Fractions is 2/345352.Finally, GCF of Fractions for 8782/392, 6166/7048 is 2/345352.