Greatest Common Factor of 28/78, 271/28, 937/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/78, 271/28, 937/127

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 28/78,271/28,937/127

Given fractions are 28/78,271/28,937/127

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 28,271,937

Greatest Common Factor of Numerators i.e. GCF of 28,271,937 is 1 .

LCM of Denominators means LCM of 78,28,127 as per the given fractions.

LCM of 78,28,127 is 138684 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,271,937

GCF of Fractions 28/78,271/28,937/127 is 1/138684

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

Greatest Common Factor of 28,271,937 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,271,937 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 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Greatest Common Factor

We found the factors 28,271,937 . The biggest common factor number is the GCF number.
So the greatest common factor 28,271,937 is 1.

Lets's calculate LCM of 78,28,127

2 78, 28, 127
39, 14, 127

∴ So the LCM of the given numbers is 2 x 39 x 14 x 127 = 138684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138684

Therefore, the GCF of Fractions 28/78,271/28,937/127 is 1/138684

Least Common Multiple of 78,28,127 with GCF Formula

Least Common Multiple of 78,28,127 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 78,28,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,28,127) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,28,127) x common factors =1 x 2 = 2

LCM(78,28,127) = ( 78 × 28 × 127 ) / 2

LCM(78,28,127) = 277368 / 2

LCM(78,28,127) = 138684


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 28/78, 271/28, 937/127

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 28/78, 271/28, 937/127?

Answer: GCF of Numerators as per given numbers 28/78, 271/28, 937/127 is

GCF of Numerators i.e. for 28,271,937 is 1

LCM of denominators i.e. for 78,28,127 is 138684.

Thus, GCF of Fractions is 1/138684.Finally, GCF of Fractions for 28/78, 271/28, 937/127 is 1/138684.