Greatest Common Factor of 8714/22, 5662/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8714/22, 5662/424

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 8714/22,5662/424

Given fractions are 8714/22,5662/424

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 8714,5662

Greatest Common Factor of Numerators i.e. GCF of 8714,5662 is 2 .

LCM of Denominators means LCM of 22,424 as per the given fractions.

LCM of 22,424 is 4664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8714,5662

GCF of Fractions 8714/22,5662/424 is 2/4664

2 8714, 5662
4357, 2831

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

Greatest Common Factor of 8714,5662 By Matching Biggest Common Factor Method

Greatest Common Factor of 8714,5662 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 5662

List of positive integer factors of 5662 that divides 5662 without a remainder.

1,2,19,38,149,298,2831,5662

Greatest Common Factor

We found the factors 8714,5662 . The biggest common factor number is the GCF number.
So the greatest common factor 8714,5662 is 2.

Lets's calculate LCM of 22,424

2 22, 424
11, 212

∴ So the LCM of the given numbers is 2 x 11 x 212 = 4664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4664

Therefore, the GCF of Fractions 8714/22,5662/424 is 2/4664

Least Common Multiple of 22,424 with GCF Formula

Least Common Multiple of 22,424 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 22,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,424) = 2

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

GCF(22,424) x common factors =2 x 1 = 2

LCM(22,424) = ( 22 × 424 ) / 2

LCM(22,424) = 9328 / 2

LCM(22,424) = 4664


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 8714/22, 5662/424

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 8714/22, 5662/424?

Answer: GCF of Numerators as per given numbers 8714/22, 5662/424 is

GCF of Numerators i.e. for 8714,5662 is 2

LCM of denominators i.e. for 22,424 is 4664.

Thus, GCF of Fractions is 2/4664.Finally, GCF of Fractions for 8714/22, 5662/424 is 2/4664.