Greatest Common Factor of 7895/28, 4488/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7895/28, 4488/119

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 7895/28,4488/119

Given fractions are 7895/28,4488/119

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 7895,4488

Greatest Common Factor of Numerators i.e. GCF of 7895,4488 is 1 .

LCM of Denominators means LCM of 28,119 as per the given fractions.

LCM of 28,119 is 476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7895,4488

GCF of Fractions 7895/28,4488/119 is 1/476

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

Greatest Common Factor of 7895,4488 By Matching Biggest Common Factor Method

Greatest Common Factor of 7895,4488 By Matching Biggest Common Factor Method

Factors of 7895

List of positive integer factors of 7895 that divides 7895 without a remainder.

1,5,1579,7895

Factors of 4488

List of positive integer factors of 4488 that divides 4488 without a remainder.

1,2,3,4,6,8,11,12,17,22,24,33,34,44,51,66,68,88,102,132,136,187,204,264,374,408,561,748,1122,1496,2244,4488

Greatest Common Factor

We found the factors 7895,4488 . The biggest common factor number is the GCF number.
So the greatest common factor 7895,4488 is 1.

Lets's calculate LCM of 28,119

7 28, 119
4, 17

∴ So the LCM of the given numbers is 7 x 4 x 17 = 476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/476

Therefore, the GCF of Fractions 7895/28,4488/119 is 1/476

Least Common Multiple of 28,119 with GCF Formula

Least Common Multiple of 28,119 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 28,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,119) = 7

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

GCF(28,119) x common factors =7 x 1 = 7

LCM(28,119) = ( 28 × 119 ) / 7

LCM(28,119) = 3332 / 7

LCM(28,119) = 476


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 7895/28, 4488/119

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 7895/28, 4488/119?

Answer: GCF of Numerators as per given numbers 7895/28, 4488/119 is

GCF of Numerators i.e. for 7895,4488 is 1

LCM of denominators i.e. for 28,119 is 476.

Thus, GCF of Fractions is 1/476.Finally, GCF of Fractions for 7895/28, 4488/119 is 1/476.