Greatest Common Factor of 8714/400, 7432/7806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8714/400, 7432/7806

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 8714/400,7432/7806

Given fractions are 8714/400,7432/7806

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 8714,7432

Greatest Common Factor of Numerators i.e. GCF of 8714,7432 is 2 .

LCM of Denominators means LCM of 400,7806 as per the given fractions.

LCM of 400,7806 is 1561200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8714,7432

GCF of Fractions 8714/400,7432/7806 is 2/1561200

2 8714, 7432
4357, 3716

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

Greatest Common Factor of 8714,7432 By Matching Biggest Common Factor Method

Greatest Common Factor of 8714,7432 By Matching Biggest Common Factor Method

Factors of 8714

List of positive integer factors of 8714 that divides 8714 without a remainder.

1,2,4357,8714

Factors of 7432

List of positive integer factors of 7432 that divides 7432 without a remainder.

1,2,4,8,929,1858,3716,7432

Greatest Common Factor

We found the factors 8714,7432 . The biggest common factor number is the GCF number.
So the greatest common factor 8714,7432 is 2.

Lets's calculate LCM of 400,7806

2 400, 7806
200, 3903

∴ So the LCM of the given numbers is 2 x 200 x 3903 = 1561200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1561200

Therefore, the GCF of Fractions 8714/400,7432/7806 is 2/1561200

Least Common Multiple of 400,7806 with GCF Formula

Least Common Multiple of 400,7806 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 400,7806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,7806) = 2

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

GCF(400,7806) x common factors =2 x 1 = 2

LCM(400,7806) = ( 400 × 7806 ) / 2

LCM(400,7806) = 3122400 / 2

LCM(400,7806) = 1561200


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 8714/400, 7432/7806

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 8714/400, 7432/7806?

Answer: GCF of Numerators as per given numbers 8714/400, 7432/7806 is

GCF of Numerators i.e. for 8714,7432 is 2

LCM of denominators i.e. for 400,7806 is 1561200.

Thus, GCF of Fractions is 2/1561200.Finally, GCF of Fractions for 8714/400, 7432/7806 is 2/1561200.