Greatest Common Factor of 31/38, 10/26, 432/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/38, 10/26, 432/298

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 31/38,10/26,432/298

Given fractions are 31/38,10/26,432/298

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 31,10,432

Greatest Common Factor of Numerators i.e. GCF of 31,10,432 is 1 .

LCM of Denominators means LCM of 38,26,298 as per the given fractions.

LCM of 38,26,298 is 73606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,10,432

GCF of Fractions 31/38,10/26,432/298 is 1/73606

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

Greatest Common Factor of 31,10,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,10,432 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 31,10,432 . The biggest common factor number is the GCF number.
So the greatest common factor 31,10,432 is 1.

Lets's calculate LCM of 38,26,298

2 38, 26, 298
19, 13, 149

∴ So the LCM of the given numbers is 2 x 19 x 13 x 149 = 73606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73606

Therefore, the GCF of Fractions 31/38,10/26,432/298 is 1/73606

Least Common Multiple of 38,26,298 with GCF Formula

Least Common Multiple of 38,26,298 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 38,26,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,26,298) = 2

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

GCF(38,26,298) x common factors =2 x 2 = 4

LCM(38,26,298) = ( 38 × 26 × 298 ) / 4

LCM(38,26,298) = 294424 / 4

LCM(38,26,298) = 73606


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 31/38, 10/26, 432/298

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 31/38, 10/26, 432/298?

Answer: GCF of Numerators as per given numbers 31/38, 10/26, 432/298 is

GCF of Numerators i.e. for 31,10,432 is 1

LCM of denominators i.e. for 38,26,298 is 73606.

Thus, GCF of Fractions is 1/73606.Finally, GCF of Fractions for 31/38, 10/26, 432/298 is 1/73606.