Greatest Common Factor of 28/25, 187/85, 875/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/25, 187/85, 875/895

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 28/25,187/85,875/895

Given fractions are 28/25,187/85,875/895

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 28,187,875

Greatest Common Factor of Numerators i.e. GCF of 28,187,875 is 1 .

LCM of Denominators means LCM of 25,85,895 as per the given fractions.

LCM of 25,85,895 is 76075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,187,875

GCF of Fractions 28/25,187/85,875/895 is 1/76075

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

Greatest Common Factor of 28,187,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,187,875 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 28,187,875 . The biggest common factor number is the GCF number.
So the greatest common factor 28,187,875 is 1.

Lets's calculate LCM of 25,85,895

5 25, 85, 895
5, 17, 179

∴ So the LCM of the given numbers is 5 x 5 x 17 x 179 = 76075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76075

Therefore, the GCF of Fractions 28/25,187/85,875/895 is 1/76075

Least Common Multiple of 25,85,895 with GCF Formula

Least Common Multiple of 25,85,895 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 25,85,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,85,895) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(25,85,895) x common factors =5 x 5 = 25

LCM(25,85,895) = ( 25 × 85 × 895 ) / 25

LCM(25,85,895) = 1901875 / 25

LCM(25,85,895) = 76075


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 28/25, 187/85, 875/895

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 28/25, 187/85, 875/895?

Answer: GCF of Numerators as per given numbers 28/25, 187/85, 875/895 is

GCF of Numerators i.e. for 28,187,875 is 1

LCM of denominators i.e. for 25,85,895 is 76075.

Thus, GCF of Fractions is 1/76075.Finally, GCF of Fractions for 28/25, 187/85, 875/895 is 1/76075.