Greatest Common Factor of 322/71, 5650/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 322/71, 5650/547

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 322/71,5650/547

Given fractions are 322/71,5650/547

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 322,5650

Greatest Common Factor of Numerators i.e. GCF of 322,5650 is 2 .

LCM of Denominators means LCM of 71,547 as per the given fractions.

LCM of 71,547 is 38837 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 322,5650

GCF of Fractions 322/71,5650/547 is 2/38837

2 322, 5650
161, 2825

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 322,5650 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,5650 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 5650

List of positive integer factors of 5650 that divides 5650 without a remainder.

1,2,5,10,25,50,113,226,565,1130,2825,5650

Greatest Common Factor

We found the factors 322,5650 . The biggest common factor number is the GCF number.
So the greatest common factor 322,5650 is 2.

Lets's calculate LCM of 71,547

Given numbers has no common factors except 1. So, there LCM is their product i.e 38837

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38837

Therefore, the GCF of Fractions 322/71,5650/547 is 2/38837

Least Common Multiple of 71,547 with GCF Formula

Least Common Multiple of 71,547 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 71,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,547) = 1

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

GCF(71,547) x common factors =1 x 1 = 1

LCM(71,547) = ( 71 × 547 ) / 1

LCM(71,547) = 38837 / 1

LCM(71,547) = 38837


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 322/71, 5650/547

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 322/71, 5650/547?

Answer: GCF of Numerators as per given numbers 322/71, 5650/547 is

GCF of Numerators i.e. for 322,5650 is 2

LCM of denominators i.e. for 71,547 is 38837.

Thus, GCF of Fractions is 2/38837.Finally, GCF of Fractions for 322/71, 5650/547 is 2/38837.