Greatest Common Factor of 3888/25, 2871/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3888/25, 2871/790

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 3888/25,2871/790

Given fractions are 3888/25,2871/790

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 3888,2871

Greatest Common Factor of Numerators i.e. GCF of 3888,2871 is 9 .

LCM of Denominators means LCM of 25,790 as per the given fractions.

LCM of 25,790 is 3950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3888,2871

GCF of Fractions 3888/25,2871/790 is 9/3950

3 3888, 2871
3 1296, 957
432, 319

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 3888,2871 By Matching Biggest Common Factor Method

Greatest Common Factor of 3888,2871 By Matching Biggest Common Factor Method

Factors of 3888

List of positive integer factors of 3888 that divides 3888 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,243,324,432,486,648,972,1296,1944,3888

Factors of 2871

List of positive integer factors of 2871 that divides 2871 without a remainder.

1,3,9,11,29,33,87,99,261,319,957,2871

Greatest Common Factor

We found the factors 3888,2871 . The biggest common factor number is the GCF number.
So the greatest common factor 3888,2871 is 9.

Lets's calculate LCM of 25,790

5 25, 790
5, 158

∴ So the LCM of the given numbers is 5 x 5 x 158 = 3950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3950

Therefore, the GCF of Fractions 3888/25,2871/790 is 9/3950

Least Common Multiple of 25,790 with GCF Formula

Least Common Multiple of 25,790 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 25,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,790) = 5

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

GCF(25,790) x common factors =5 x 1 = 5

LCM(25,790) = ( 25 × 790 ) / 5

LCM(25,790) = 19750 / 5

LCM(25,790) = 3950


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 3888/25, 2871/790

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 3888/25, 2871/790?

Answer: GCF of Numerators as per given numbers 3888/25, 2871/790 is

GCF of Numerators i.e. for 3888,2871 is 9

LCM of denominators i.e. for 25,790 is 3950.

Thus, GCF of Fractions is 9/3950.Finally, GCF of Fractions for 3888/25, 2871/790 is 9/3950.