Greatest Common Factor of 88/28, 731/77, 317/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/28, 731/77, 317/125

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 88/28,731/77,317/125

Given fractions are 88/28,731/77,317/125

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 88,731,317

Greatest Common Factor of Numerators i.e. GCF of 88,731,317 is 1 .

LCM of Denominators means LCM of 28,77,125 as per the given fractions.

LCM of 28,77,125 is 38500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,731,317

GCF of Fractions 88/28,731/77,317/125 is 1/38500

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

Greatest Common Factor of 88,731,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,731,317 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 88,731,317 . The biggest common factor number is the GCF number.
So the greatest common factor 88,731,317 is 1.

Lets's calculate LCM of 28,77,125

7 28, 77, 125
4, 11, 125

∴ So the LCM of the given numbers is 7 x 4 x 11 x 125 = 38500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38500

Therefore, the GCF of Fractions 88/28,731/77,317/125 is 1/38500

Least Common Multiple of 28,77,125 with GCF Formula

Least Common Multiple of 28,77,125 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 28,77,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,77,125) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(28,77,125) x common factors =1 x 7 = 7

LCM(28,77,125) = ( 28 × 77 × 125 ) / 7

LCM(28,77,125) = 269500 / 7

LCM(28,77,125) = 38500


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 88/28, 731/77, 317/125

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 88/28, 731/77, 317/125?

Answer: GCF of Numerators as per given numbers 88/28, 731/77, 317/125 is

GCF of Numerators i.e. for 88,731,317 is 1

LCM of denominators i.e. for 28,77,125 is 38500.

Thus, GCF of Fractions is 1/38500.Finally, GCF of Fractions for 88/28, 731/77, 317/125 is 1/38500.