Greatest Common Factor of 139/75, 228/98, 114/937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 139/75, 228/98, 114/937

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 139/75,228/98,114/937

Given fractions are 139/75,228/98,114/937

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 139,228,114

Greatest Common Factor of Numerators i.e. GCF of 139,228,114 is 1 .

LCM of Denominators means LCM of 75,98,937 as per the given fractions.

LCM of 75,98,937 is 6886950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 139,228,114

GCF of Fractions 139/75,228/98,114/937 is 1/6886950

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

Greatest Common Factor of 139,228,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,228,114 By Matching Biggest Common Factor Method

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 139,228,114 . The biggest common factor number is the GCF number.
So the greatest common factor 139,228,114 is 1.

Lets's calculate LCM of 75,98,937

Given numbers has no common factors except 1. So, there LCM is their product i.e 6886950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6886950

Therefore, the GCF of Fractions 139/75,228/98,114/937 is 1/6886950

Least Common Multiple of 75,98,937 with GCF Formula

Least Common Multiple of 75,98,937 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 75,98,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,98,937) = 1

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

GCF(75,98,937) x common factors =1 x 1 = 1

LCM(75,98,937) = ( 75 × 98 × 937 ) / 1

LCM(75,98,937) = 6886950 / 1

LCM(75,98,937) = 6886950


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 139/75, 228/98, 114/937

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 139/75, 228/98, 114/937?

Answer: GCF of Numerators as per given numbers 139/75, 228/98, 114/937 is

GCF of Numerators i.e. for 139,228,114 is 1

LCM of denominators i.e. for 75,98,937 is 6886950.

Thus, GCF of Fractions is 1/6886950.Finally, GCF of Fractions for 139/75, 228/98, 114/937 is 1/6886950.