Greatest Common Factor of 648/292, 8720/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 648/292, 8720/266

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 648/292,8720/266

Given fractions are 648/292,8720/266

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 648,8720

Greatest Common Factor of Numerators i.e. GCF of 648,8720 is 8 .

LCM of Denominators means LCM of 292,266 as per the given fractions.

LCM of 292,266 is 38836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 648,8720

GCF of Fractions 648/292,8720/266 is 8/38836

2 648, 8720
2 324, 4360
2 162, 2180
81, 1090

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 648,8720 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,8720 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 8720

List of positive integer factors of 8720 that divides 8720 without a remainder.

1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720

Greatest Common Factor

We found the factors 648,8720 . The biggest common factor number is the GCF number.
So the greatest common factor 648,8720 is 8.

Lets's calculate LCM of 292,266

2 292, 266
146, 133

∴ So the LCM of the given numbers is 2 x 146 x 133 = 38836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/38836

Therefore, the GCF of Fractions 648/292,8720/266 is 8/38836

Least Common Multiple of 292,266 with GCF Formula

Least Common Multiple of 292,266 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 292,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,266) = 2

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

GCF(292,266) x common factors =2 x 1 = 2

LCM(292,266) = ( 292 × 266 ) / 2

LCM(292,266) = 77672 / 2

LCM(292,266) = 38836


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 648/292, 8720/266

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 648/292, 8720/266?

Answer: GCF of Numerators as per given numbers 648/292, 8720/266 is

GCF of Numerators i.e. for 648,8720 is 8

LCM of denominators i.e. for 292,266 is 38836.

Thus, GCF of Fractions is 8/38836.Finally, GCF of Fractions for 648/292, 8720/266 is 8/38836.