Greatest Common Factor of 6714/888, 7582/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6714/888, 7582/182

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 6714/888,7582/182

Given fractions are 6714/888,7582/182

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 6714,7582

Greatest Common Factor of Numerators i.e. GCF of 6714,7582 is 2 .

LCM of Denominators means LCM of 888,182 as per the given fractions.

LCM of 888,182 is 80808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6714,7582

GCF of Fractions 6714/888,7582/182 is 2/80808

2 6714, 7582
3357, 3791

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

Greatest Common Factor of 6714,7582 By Matching Biggest Common Factor Method

Greatest Common Factor of 6714,7582 By Matching Biggest Common Factor Method

Factors of 6714

List of positive integer factors of 6714 that divides 6714 without a remainder.

1,2,3,6,9,18,373,746,1119,2238,3357,6714

Factors of 7582

List of positive integer factors of 7582 that divides 7582 without a remainder.

1,2,17,34,223,446,3791,7582

Greatest Common Factor

We found the factors 6714,7582 . The biggest common factor number is the GCF number.
So the greatest common factor 6714,7582 is 2.

Lets's calculate LCM of 888,182

2 888, 182
444, 91

∴ So the LCM of the given numbers is 2 x 444 x 91 = 80808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80808

Therefore, the GCF of Fractions 6714/888,7582/182 is 2/80808

Least Common Multiple of 888,182 with GCF Formula

Least Common Multiple of 888,182 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 888,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,182) = 2

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

GCF(888,182) x common factors =2 x 1 = 2

LCM(888,182) = ( 888 × 182 ) / 2

LCM(888,182) = 161616 / 2

LCM(888,182) = 80808


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 6714/888, 7582/182

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 6714/888, 7582/182?

Answer: GCF of Numerators as per given numbers 6714/888, 7582/182 is

GCF of Numerators i.e. for 6714,7582 is 2

LCM of denominators i.e. for 888,182 is 80808.

Thus, GCF of Fractions is 2/80808.Finally, GCF of Fractions for 6714/888, 7582/182 is 2/80808.