Greatest Common Factor of 127/84, 903/84, 875/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 127/84, 903/84, 875/718

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 127/84,903/84,875/718

Given fractions are 127/84,903/84,875/718

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 127,903,875

Greatest Common Factor of Numerators i.e. GCF of 127,903,875 is 1 .

LCM of Denominators means LCM of 84,84,718 as per the given fractions.

LCM of 84,84,718 is 30156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 127,903,875

GCF of Fractions 127/84,903/84,875/718 is 1/30156

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

Greatest Common Factor of 127,903,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 127,903,875 By Matching Biggest Common Factor Method

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

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 127,903,875 . The biggest common factor number is the GCF number.
So the greatest common factor 127,903,875 is 1.

Lets's calculate LCM of 84,84,718

2 84, 84, 718
2 42, 42, 359
3 21, 21, 359
7 7, 7, 359
1, 1, 359

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 1 x 359 = 30156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30156

Therefore, the GCF of Fractions 127/84,903/84,875/718 is 1/30156

Least Common Multiple of 84,84,718 with GCF Formula

Least Common Multiple of 84,84,718 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 84,84,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,84,718) = 2

common factors(in case of two or more numbers have common factors) = 84

GCF(84,84,718) x common factors =2 x 84 = 168

LCM(84,84,718) = ( 84 × 84 × 718 ) / 168

LCM(84,84,718) = 5066208 / 168

LCM(84,84,718) = 30156


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 127/84, 903/84, 875/718

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 127/84, 903/84, 875/718?

Answer: GCF of Numerators as per given numbers 127/84, 903/84, 875/718 is

GCF of Numerators i.e. for 127,903,875 is 1

LCM of denominators i.e. for 84,84,718 is 30156.

Thus, GCF of Fractions is 1/30156.Finally, GCF of Fractions for 127/84, 903/84, 875/718 is 1/30156.