Greatest Common Factor of 8609/360, 2976/4269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8609/360, 2976/4269

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 8609/360,2976/4269

Given fractions are 8609/360,2976/4269

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 8609,2976

Greatest Common Factor of Numerators i.e. GCF of 8609,2976 is 1 .

LCM of Denominators means LCM of 360,4269 as per the given fractions.

LCM of 360,4269 is 512280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8609,2976

GCF of Fractions 8609/360,2976/4269 is 1/512280

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8609,2976 By Matching Biggest Common Factor Method

Greatest Common Factor of 8609,2976 By Matching Biggest Common Factor Method

Factors of 8609

List of positive integer factors of 8609 that divides 8609 without a remainder.

1,8609

Factors of 2976

List of positive integer factors of 2976 that divides 2976 without a remainder.

1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976

Greatest Common Factor

We found the factors 8609,2976 . The biggest common factor number is the GCF number.
So the greatest common factor 8609,2976 is 1.

Lets's calculate LCM of 360,4269

3 360, 4269
120, 1423

∴ So the LCM of the given numbers is 3 x 120 x 1423 = 512280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512280

Therefore, the GCF of Fractions 8609/360,2976/4269 is 1/512280

Least Common Multiple of 360,4269 with GCF Formula

Least Common Multiple of 360,4269 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 360,4269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,4269) = 3

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

GCF(360,4269) x common factors =3 x 1 = 3

LCM(360,4269) = ( 360 × 4269 ) / 3

LCM(360,4269) = 1536840 / 3

LCM(360,4269) = 512280


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 8609/360, 2976/4269

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 8609/360, 2976/4269?

Answer: GCF of Numerators as per given numbers 8609/360, 2976/4269 is

GCF of Numerators i.e. for 8609,2976 is 1

LCM of denominators i.e. for 360,4269 is 512280.

Thus, GCF of Fractions is 1/512280.Finally, GCF of Fractions for 8609/360, 2976/4269 is 1/512280.