Greatest Common Factor of 6499/878, 9264/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6499/878, 9264/578

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 6499/878,9264/578

Given fractions are 6499/878,9264/578

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 6499,9264

Greatest Common Factor of Numerators i.e. GCF of 6499,9264 is 1 .

LCM of Denominators means LCM of 878,578 as per the given fractions.

LCM of 878,578 is 253742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6499,9264

GCF of Fractions 6499/878,9264/578 is 1/253742

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

Greatest Common Factor of 6499,9264 By Matching Biggest Common Factor Method

Greatest Common Factor of 6499,9264 By Matching Biggest Common Factor Method

Factors of 6499

List of positive integer factors of 6499 that divides 6499 without a remainder.

1,67,97,6499

Factors of 9264

List of positive integer factors of 9264 that divides 9264 without a remainder.

1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264

Greatest Common Factor

We found the factors 6499,9264 . The biggest common factor number is the GCF number.
So the greatest common factor 6499,9264 is 1.

Lets's calculate LCM of 878,578

2 878, 578
439, 289

∴ So the LCM of the given numbers is 2 x 439 x 289 = 253742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253742

Therefore, the GCF of Fractions 6499/878,9264/578 is 1/253742

Least Common Multiple of 878,578 with GCF Formula

Least Common Multiple of 878,578 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 878,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,578) = 2

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

GCF(878,578) x common factors =2 x 1 = 2

LCM(878,578) = ( 878 × 578 ) / 2

LCM(878,578) = 507484 / 2

LCM(878,578) = 253742


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 6499/878, 9264/578

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 6499/878, 9264/578?

Answer: GCF of Numerators as per given numbers 6499/878, 9264/578 is

GCF of Numerators i.e. for 6499,9264 is 1

LCM of denominators i.e. for 878,578 is 253742.

Thus, GCF of Fractions is 1/253742.Finally, GCF of Fractions for 6499/878, 9264/578 is 1/253742.