Greatest Common Factor of 75/258, 275/847, 875/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/258, 275/847, 875/871

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 75/258,275/847,875/871

Given fractions are 75/258,275/847,875/871

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 75,275,875

Greatest Common Factor of Numerators i.e. GCF of 75,275,875 is 25 .

LCM of Denominators means LCM of 258,847,871 as per the given fractions.

LCM of 258,847,871 is 190336146 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,275,875

GCF of Fractions 75/258,275/847,875/871 is 25/190336146

5 75, 275, 875
5 15, 55, 175
3, 11, 35

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 75,275,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,275,875 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

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 75,275,875 . The biggest common factor number is the GCF number.
So the greatest common factor 75,275,875 is 25.

Lets's calculate LCM of 258,847,871

Given numbers has no common factors except 1. So, there LCM is their product i.e 190336146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/190336146

Therefore, the GCF of Fractions 75/258,275/847,875/871 is 25/190336146

Least Common Multiple of 258,847,871 with GCF Formula

Least Common Multiple of 258,847,871 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 258,847,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,847,871) = 1

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

GCF(258,847,871) x common factors =1 x 1 = 1

LCM(258,847,871) = ( 258 × 847 × 871 ) / 1

LCM(258,847,871) = 190336146 / 1

LCM(258,847,871) = 190336146


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 75/258, 275/847, 875/871

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 75/258, 275/847, 875/871?

Answer: GCF of Numerators as per given numbers 75/258, 275/847, 875/871 is

GCF of Numerators i.e. for 75,275,875 is 25

LCM of denominators i.e. for 258,847,871 is 190336146.

Thus, GCF of Fractions is 25/190336146.Finally, GCF of Fractions for 75/258, 275/847, 875/871 is 25/190336146.