Greatest Common Factor of 2292/169, 9420/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2292/169, 9420/564

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 2292/169,9420/564

Given fractions are 2292/169,9420/564

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 2292,9420

Greatest Common Factor of Numerators i.e. GCF of 2292,9420 is 12 .

LCM of Denominators means LCM of 169,564 as per the given fractions.

LCM of 169,564 is 95316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2292,9420

GCF of Fractions 2292/169,9420/564 is 12/95316

2 2292, 9420
2 1146, 4710
3 573, 2355
191, 785

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 2292,9420 By Matching Biggest Common Factor Method

Greatest Common Factor of 2292,9420 By Matching Biggest Common Factor Method

Factors of 2292

List of positive integer factors of 2292 that divides 2292 without a remainder.

1,2,3,4,6,12,191,382,573,764,1146,2292

Factors of 9420

List of positive integer factors of 9420 that divides 9420 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,157,314,471,628,785,942,1570,1884,2355,3140,4710,9420

Greatest Common Factor

We found the factors 2292,9420 . The biggest common factor number is the GCF number.
So the greatest common factor 2292,9420 is 12.

Lets's calculate LCM of 169,564

Given numbers has no common factors except 1. So, there LCM is their product i.e 95316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/95316

Therefore, the GCF of Fractions 2292/169,9420/564 is 12/95316

Least Common Multiple of 169,564 with GCF Formula

Least Common Multiple of 169,564 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 169,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,564) = 1

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

GCF(169,564) x common factors =1 x 1 = 1

LCM(169,564) = ( 169 × 564 ) / 1

LCM(169,564) = 95316 / 1

LCM(169,564) = 95316


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 2292/169, 9420/564

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 2292/169, 9420/564?

Answer: GCF of Numerators as per given numbers 2292/169, 9420/564 is

GCF of Numerators i.e. for 2292,9420 is 12

LCM of denominators i.e. for 169,564 is 95316.

Thus, GCF of Fractions is 12/95316.Finally, GCF of Fractions for 2292/169, 9420/564 is 12/95316.