Greatest Common Factor of 7882/916, 8124/4332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7882/916, 8124/4332

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 7882/916,8124/4332

Given fractions are 7882/916,8124/4332

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 7882,8124

Greatest Common Factor of Numerators i.e. GCF of 7882,8124 is 2 .

LCM of Denominators means LCM of 916,4332 as per the given fractions.

LCM of 916,4332 is 992028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7882,8124

GCF of Fractions 7882/916,8124/4332 is 2/992028

2 7882, 8124
3941, 4062

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

Greatest Common Factor of 7882,8124 By Matching Biggest Common Factor Method

Greatest Common Factor of 7882,8124 By Matching Biggest Common Factor Method

Factors of 7882

List of positive integer factors of 7882 that divides 7882 without a remainder.

1,2,7,14,563,1126,3941,7882

Factors of 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1,2,3,4,6,12,677,1354,2031,2708,4062,8124

Greatest Common Factor

We found the factors 7882,8124 . The biggest common factor number is the GCF number.
So the greatest common factor 7882,8124 is 2.

Lets's calculate LCM of 916,4332

2 916, 4332
2 458, 2166
229, 1083

∴ So the LCM of the given numbers is 2 x 2 x 229 x 1083 = 992028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/992028

Therefore, the GCF of Fractions 7882/916,8124/4332 is 2/992028

Least Common Multiple of 916,4332 with GCF Formula

Least Common Multiple of 916,4332 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 916,4332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,4332) = 4

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

GCF(916,4332) x common factors =4 x 1 = 4

LCM(916,4332) = ( 916 × 4332 ) / 4

LCM(916,4332) = 3968112 / 4

LCM(916,4332) = 992028


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 7882/916, 8124/4332

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 7882/916, 8124/4332?

Answer: GCF of Numerators as per given numbers 7882/916, 8124/4332 is

GCF of Numerators i.e. for 7882,8124 is 2

LCM of denominators i.e. for 916,4332 is 992028.

Thus, GCF of Fractions is 2/992028.Finally, GCF of Fractions for 7882/916, 8124/4332 is 2/992028.