Greatest Common Factor of 31/73, 28/21, 431/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/73, 28/21, 431/814

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 31/73,28/21,431/814

Given fractions are 31/73,28/21,431/814

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 31,28,431

Greatest Common Factor of Numerators i.e. GCF of 31,28,431 is 1 .

LCM of Denominators means LCM of 73,21,814 as per the given fractions.

LCM of 73,21,814 is 1247862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,28,431

GCF of Fractions 31/73,28/21,431/814 is 1/1247862

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

Greatest Common Factor of 31,28,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,28,431 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Greatest Common Factor

We found the factors 31,28,431 . The biggest common factor number is the GCF number.
So the greatest common factor 31,28,431 is 1.

Lets's calculate LCM of 73,21,814

Given numbers has no common factors except 1. So, there LCM is their product i.e 1247862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1247862

Therefore, the GCF of Fractions 31/73,28/21,431/814 is 1/1247862

Least Common Multiple of 73,21,814 with GCF Formula

Least Common Multiple of 73,21,814 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 73,21,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,21,814) = 1

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

GCF(73,21,814) x common factors =1 x 1 = 1

LCM(73,21,814) = ( 73 × 21 × 814 ) / 1

LCM(73,21,814) = 1247862 / 1

LCM(73,21,814) = 1247862


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 31/73, 28/21, 431/814

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 31/73, 28/21, 431/814?

Answer: GCF of Numerators as per given numbers 31/73, 28/21, 431/814 is

GCF of Numerators i.e. for 31,28,431 is 1

LCM of denominators i.e. for 73,21,814 is 1247862.

Thus, GCF of Fractions is 1/1247862.Finally, GCF of Fractions for 31/73, 28/21, 431/814 is 1/1247862.