Greatest Common Factor of 8876/48, 4014/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8876/48, 4014/900

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 8876/48,4014/900

Given fractions are 8876/48,4014/900

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 8876,4014

Greatest Common Factor of Numerators i.e. GCF of 8876,4014 is 2 .

LCM of Denominators means LCM of 48,900 as per the given fractions.

LCM of 48,900 is 3600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8876,4014

GCF of Fractions 8876/48,4014/900 is 2/3600

2 8876, 4014
4438, 2007

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

Greatest Common Factor of 8876,4014 By Matching Biggest Common Factor Method

Greatest Common Factor of 8876,4014 By Matching Biggest Common Factor Method

Factors of 8876

List of positive integer factors of 8876 that divides 8876 without a remainder.

1,2,4,7,14,28,317,634,1268,2219,4438,8876

Factors of 4014

List of positive integer factors of 4014 that divides 4014 without a remainder.

1,2,3,6,9,18,223,446,669,1338,2007,4014

Greatest Common Factor

We found the factors 8876,4014 . The biggest common factor number is the GCF number.
So the greatest common factor 8876,4014 is 2.

Lets's calculate LCM of 48,900

2 48, 900
2 24, 450
3 12, 225
4, 75

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 75 = 3600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3600

Therefore, the GCF of Fractions 8876/48,4014/900 is 2/3600

Least Common Multiple of 48,900 with GCF Formula

Least Common Multiple of 48,900 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 48,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,900) = 12

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

GCF(48,900) x common factors =12 x 1 = 12

LCM(48,900) = ( 48 × 900 ) / 12

LCM(48,900) = 43200 / 12

LCM(48,900) = 3600


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 8876/48, 4014/900

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 8876/48, 4014/900?

Answer: GCF of Numerators as per given numbers 8876/48, 4014/900 is

GCF of Numerators i.e. for 8876,4014 is 2

LCM of denominators i.e. for 48,900 is 3600.

Thus, GCF of Fractions is 2/3600.Finally, GCF of Fractions for 8876/48, 4014/900 is 2/3600.