Greatest Common Factor of 876/20, 6007/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 876/20, 6007/916

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 876/20,6007/916

Given fractions are 876/20,6007/916

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 876,6007

Greatest Common Factor of Numerators i.e. GCF of 876,6007 is 1 .

LCM of Denominators means LCM of 20,916 as per the given fractions.

LCM of 20,916 is 4580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 876,6007

GCF of Fractions 876/20,6007/916 is 1/4580

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 876,6007 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,6007 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 6007

List of positive integer factors of 6007 that divides 6007 without a remainder.

1,6007

Greatest Common Factor

We found the factors 876,6007 . The biggest common factor number is the GCF number.
So the greatest common factor 876,6007 is 1.

Lets's calculate LCM of 20,916

2 20, 916
2 10, 458
5, 229

∴ So the LCM of the given numbers is 2 x 2 x 5 x 229 = 4580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4580

Therefore, the GCF of Fractions 876/20,6007/916 is 1/4580

Least Common Multiple of 20,916 with GCF Formula

Least Common Multiple of 20,916 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 20,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,916) = 4

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

GCF(20,916) x common factors =4 x 1 = 4

LCM(20,916) = ( 20 × 916 ) / 4

LCM(20,916) = 18320 / 4

LCM(20,916) = 4580


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 876/20, 6007/916

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 876/20, 6007/916?

Answer: GCF of Numerators as per given numbers 876/20, 6007/916 is

GCF of Numerators i.e. for 876,6007 is 1

LCM of denominators i.e. for 20,916 is 4580.

Thus, GCF of Fractions is 1/4580.Finally, GCF of Fractions for 876/20, 6007/916 is 1/4580.