Greatest Common Factor of 321/42, 9416/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 321/42, 9416/331

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 321/42,9416/331

Given fractions are 321/42,9416/331

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 321,9416

Greatest Common Factor of Numerators i.e. GCF of 321,9416 is 107 .

LCM of Denominators means LCM of 42,331 as per the given fractions.

LCM of 42,331 is 13902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 321,9416

GCF of Fractions 321/42,9416/331 is 107/13902

107 321, 9416
3, 88

∴ So the GCF of the given numbers is 107 = 107

Greatest Common Factor of 321,9416 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,9416 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 9416

List of positive integer factors of 9416 that divides 9416 without a remainder.

1,2,4,8,11,22,44,88,107,214,428,856,1177,2354,4708,9416

Greatest Common Factor

We found the factors 321,9416 . The biggest common factor number is the GCF number.
So the greatest common factor 321,9416 is 107.

Lets's calculate LCM of 42,331

Given numbers has no common factors except 1. So, there LCM is their product i.e 13902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 107/13902

Therefore, the GCF of Fractions 321/42,9416/331 is 107/13902

Least Common Multiple of 42,331 with GCF Formula

Least Common Multiple of 42,331 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 42,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,331) = 1

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

GCF(42,331) x common factors =1 x 1 = 1

LCM(42,331) = ( 42 × 331 ) / 1

LCM(42,331) = 13902 / 1

LCM(42,331) = 13902


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 321/42, 9416/331

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 321/42, 9416/331?

Answer: GCF of Numerators as per given numbers 321/42, 9416/331 is

GCF of Numerators i.e. for 321,9416 is 107

LCM of denominators i.e. for 42,331 is 13902.

Thus, GCF of Fractions is 107/13902.Finally, GCF of Fractions for 321/42, 9416/331 is 107/13902.