Greatest Common Factor of 7724/426, 8022/8916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7724/426, 8022/8916

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 7724/426,8022/8916

Given fractions are 7724/426,8022/8916

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 7724,8022

Greatest Common Factor of Numerators i.e. GCF of 7724,8022 is 2 .

LCM of Denominators means LCM of 426,8916 as per the given fractions.

LCM of 426,8916 is 633036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7724,8022

GCF of Fractions 7724/426,8022/8916 is 2/633036

2 7724, 8022
3862, 4011

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

Greatest Common Factor of 7724,8022 By Matching Biggest Common Factor Method

Greatest Common Factor of 7724,8022 By Matching Biggest Common Factor Method

Factors of 7724

List of positive integer factors of 7724 that divides 7724 without a remainder.

1,2,4,1931,3862,7724

Factors of 8022

List of positive integer factors of 8022 that divides 8022 without a remainder.

1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022

Greatest Common Factor

We found the factors 7724,8022 . The biggest common factor number is the GCF number.
So the greatest common factor 7724,8022 is 2.

Lets's calculate LCM of 426,8916

2 426, 8916
3 213, 4458
71, 1486

∴ So the LCM of the given numbers is 2 x 3 x 71 x 1486 = 633036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/633036

Therefore, the GCF of Fractions 7724/426,8022/8916 is 2/633036

Least Common Multiple of 426,8916 with GCF Formula

Least Common Multiple of 426,8916 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 426,8916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,8916) = 6

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

GCF(426,8916) x common factors =6 x 1 = 6

LCM(426,8916) = ( 426 × 8916 ) / 6

LCM(426,8916) = 3798216 / 6

LCM(426,8916) = 633036


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 7724/426, 8022/8916

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 7724/426, 8022/8916?

Answer: GCF of Numerators as per given numbers 7724/426, 8022/8916 is

GCF of Numerators i.e. for 7724,8022 is 2

LCM of denominators i.e. for 426,8916 is 633036.

Thus, GCF of Fractions is 2/633036.Finally, GCF of Fractions for 7724/426, 8022/8916 is 2/633036.