Greatest Common Factor of 322/297, 9556/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 322/297, 9556/372

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 322/297,9556/372

Given fractions are 322/297,9556/372

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 322,9556

Greatest Common Factor of Numerators i.e. GCF of 322,9556 is 2 .

LCM of Denominators means LCM of 297,372 as per the given fractions.

LCM of 297,372 is 36828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 322,9556

GCF of Fractions 322/297,9556/372 is 2/36828

2 322, 9556
161, 4778

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

Greatest Common Factor of 322,9556 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,9556 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 9556

List of positive integer factors of 9556 that divides 9556 without a remainder.

1,2,4,2389,4778,9556

Greatest Common Factor

We found the factors 322,9556 . The biggest common factor number is the GCF number.
So the greatest common factor 322,9556 is 2.

Lets's calculate LCM of 297,372

3 297, 372
99, 124

∴ So the LCM of the given numbers is 3 x 99 x 124 = 36828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36828

Therefore, the GCF of Fractions 322/297,9556/372 is 2/36828

Least Common Multiple of 297,372 with GCF Formula

Least Common Multiple of 297,372 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 297,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,372) = 3

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

GCF(297,372) x common factors =3 x 1 = 3

LCM(297,372) = ( 297 × 372 ) / 3

LCM(297,372) = 110484 / 3

LCM(297,372) = 36828


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 322/297, 9556/372

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 322/297, 9556/372?

Answer: GCF of Numerators as per given numbers 322/297, 9556/372 is

GCF of Numerators i.e. for 322,9556 is 2

LCM of denominators i.e. for 297,372 is 36828.

Thus, GCF of Fractions is 2/36828.Finally, GCF of Fractions for 322/297, 9556/372 is 2/36828.