Greatest Common Factor of 318/37, 431/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 318/37, 431/641

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 318/37,431/641

Given fractions are 318/37,431/641

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 318,431

Greatest Common Factor of Numerators i.e. GCF of 318,431 is 1 .

LCM of Denominators means LCM of 37,641 as per the given fractions.

LCM of 37,641 is 23717 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 318,431

GCF of Fractions 318/37,431/641 is 1/23717

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

Greatest Common Factor of 318,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,431 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

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 318,431 . The biggest common factor number is the GCF number.
So the greatest common factor 318,431 is 1.

Lets's calculate LCM of 37,641

Given numbers has no common factors except 1. So, there LCM is their product i.e 23717

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23717

Therefore, the GCF of Fractions 318/37,431/641 is 1/23717

Least Common Multiple of 37,641 with GCF Formula

Least Common Multiple of 37,641 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 37,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,641) = 1

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

GCF(37,641) x common factors =1 x 1 = 1

LCM(37,641) = ( 37 × 641 ) / 1

LCM(37,641) = 23717 / 1

LCM(37,641) = 23717


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 318/37, 431/641

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 318/37, 431/641?

Answer: GCF of Numerators as per given numbers 318/37, 431/641 is

GCF of Numerators i.e. for 318,431 is 1

LCM of denominators i.e. for 37,641 is 23717.

Thus, GCF of Fractions is 1/23717.Finally, GCF of Fractions for 318/37, 431/641 is 1/23717.