Greatest Common Factor of 6316/123, 4337/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6316/123, 4337/411

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 6316/123,4337/411

Given fractions are 6316/123,4337/411

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 6316,4337

Greatest Common Factor of Numerators i.e. GCF of 6316,4337 is 1 .

LCM of Denominators means LCM of 123,411 as per the given fractions.

LCM of 123,411 is 16851 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6316,4337

GCF of Fractions 6316/123,4337/411 is 1/16851

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

Greatest Common Factor of 6316,4337 By Matching Biggest Common Factor Method

Greatest Common Factor of 6316,4337 By Matching Biggest Common Factor Method

Factors of 6316

List of positive integer factors of 6316 that divides 6316 without a remainder.

1,2,4,1579,3158,6316

Factors of 4337

List of positive integer factors of 4337 that divides 4337 without a remainder.

1,4337

Greatest Common Factor

We found the factors 6316,4337 . The biggest common factor number is the GCF number.
So the greatest common factor 6316,4337 is 1.

Lets's calculate LCM of 123,411

3 123, 411
41, 137

∴ So the LCM of the given numbers is 3 x 41 x 137 = 16851

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16851

Therefore, the GCF of Fractions 6316/123,4337/411 is 1/16851

Least Common Multiple of 123,411 with GCF Formula

Least Common Multiple of 123,411 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 123,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,411) = 3

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

GCF(123,411) x common factors =3 x 1 = 3

LCM(123,411) = ( 123 × 411 ) / 3

LCM(123,411) = 50553 / 3

LCM(123,411) = 16851


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 6316/123, 4337/411

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 6316/123, 4337/411?

Answer: GCF of Numerators as per given numbers 6316/123, 4337/411 is

GCF of Numerators i.e. for 6316,4337 is 1

LCM of denominators i.e. for 123,411 is 16851.

Thus, GCF of Fractions is 1/16851.Finally, GCF of Fractions for 6316/123, 4337/411 is 1/16851.