Greatest Common Factor of 2322/89, 3572/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2322/89, 3572/379

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 2322/89,3572/379

Given fractions are 2322/89,3572/379

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 2322,3572

Greatest Common Factor of Numerators i.e. GCF of 2322,3572 is 2 .

LCM of Denominators means LCM of 89,379 as per the given fractions.

LCM of 89,379 is 33731 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2322,3572

GCF of Fractions 2322/89,3572/379 is 2/33731

2 2322, 3572
1161, 1786

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

Greatest Common Factor of 2322,3572 By Matching Biggest Common Factor Method

Greatest Common Factor of 2322,3572 By Matching Biggest Common Factor Method

Factors of 2322

List of positive integer factors of 2322 that divides 2322 without a remainder.

1,2,3,6,9,18,27,43,54,86,129,258,387,774,1161,2322

Factors of 3572

List of positive integer factors of 3572 that divides 3572 without a remainder.

1,2,4,19,38,47,76,94,188,893,1786,3572

Greatest Common Factor

We found the factors 2322,3572 . The biggest common factor number is the GCF number.
So the greatest common factor 2322,3572 is 2.

Lets's calculate LCM of 89,379

Given numbers has no common factors except 1. So, there LCM is their product i.e 33731

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33731

Therefore, the GCF of Fractions 2322/89,3572/379 is 2/33731

Least Common Multiple of 89,379 with GCF Formula

Least Common Multiple of 89,379 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 89,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,379) = 1

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

GCF(89,379) x common factors =1 x 1 = 1

LCM(89,379) = ( 89 × 379 ) / 1

LCM(89,379) = 33731 / 1

LCM(89,379) = 33731


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 2322/89, 3572/379

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 2322/89, 3572/379?

Answer: GCF of Numerators as per given numbers 2322/89, 3572/379 is

GCF of Numerators i.e. for 2322,3572 is 2

LCM of denominators i.e. for 89,379 is 33731.

Thus, GCF of Fractions is 2/33731.Finally, GCF of Fractions for 2322/89, 3572/379 is 2/33731.