Greatest Common Factor of 15/47, 31/61, 138/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/47, 31/61, 138/426

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 15/47,31/61,138/426

Given fractions are 15/47,31/61,138/426

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 15,31,138

Greatest Common Factor of Numerators i.e. GCF of 15,31,138 is 1 .

LCM of Denominators means LCM of 47,61,426 as per the given fractions.

LCM of 47,61,426 is 1221342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,31,138

GCF of Fractions 15/47,31/61,138/426 is 1/1221342

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

Greatest Common Factor of 15,31,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,31,138 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 31

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

1,31

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 15,31,138 . The biggest common factor number is the GCF number.
So the greatest common factor 15,31,138 is 1.

Lets's calculate LCM of 47,61,426

Given numbers has no common factors except 1. So, there LCM is their product i.e 1221342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1221342

Therefore, the GCF of Fractions 15/47,31/61,138/426 is 1/1221342

Least Common Multiple of 47,61,426 with GCF Formula

Least Common Multiple of 47,61,426 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 47,61,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,61,426) = 1

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

GCF(47,61,426) x common factors =1 x 1 = 1

LCM(47,61,426) = ( 47 × 61 × 426 ) / 1

LCM(47,61,426) = 1221342 / 1

LCM(47,61,426) = 1221342


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 15/47, 31/61, 138/426

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 15/47, 31/61, 138/426?

Answer: GCF of Numerators as per given numbers 15/47, 31/61, 138/426 is

GCF of Numerators i.e. for 15,31,138 is 1

LCM of denominators i.e. for 47,61,426 is 1221342.

Thus, GCF of Fractions is 1/1221342.Finally, GCF of Fractions for 15/47, 31/61, 138/426 is 1/1221342.