Greatest Common Factor of 7856/648, 2280/8134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7856/648, 2280/8134

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 7856/648,2280/8134

Given fractions are 7856/648,2280/8134

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 7856,2280

Greatest Common Factor of Numerators i.e. GCF of 7856,2280 is 8 .

LCM of Denominators means LCM of 648,8134 as per the given fractions.

LCM of 648,8134 is 2635416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7856,2280

GCF of Fractions 7856/648,2280/8134 is 8/2635416

2 7856, 2280
2 3928, 1140
2 1964, 570
982, 285

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

Greatest Common Factor of 7856,2280 By Matching Biggest Common Factor Method

Greatest Common Factor of 7856,2280 By Matching Biggest Common Factor Method

Factors of 7856

List of positive integer factors of 7856 that divides 7856 without a remainder.

1,2,4,8,16,491,982,1964,3928,7856

Factors of 2280

List of positive integer factors of 2280 that divides 2280 without a remainder.

1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280

Greatest Common Factor

We found the factors 7856,2280 . The biggest common factor number is the GCF number.
So the greatest common factor 7856,2280 is 8.

Lets's calculate LCM of 648,8134

2 648, 8134
324, 4067

∴ So the LCM of the given numbers is 2 x 324 x 4067 = 2635416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2635416

Therefore, the GCF of Fractions 7856/648,2280/8134 is 8/2635416

Least Common Multiple of 648,8134 with GCF Formula

Least Common Multiple of 648,8134 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 648,8134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,8134) = 2

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

GCF(648,8134) x common factors =2 x 1 = 2

LCM(648,8134) = ( 648 × 8134 ) / 2

LCM(648,8134) = 5270832 / 2

LCM(648,8134) = 2635416


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 7856/648, 2280/8134

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 7856/648, 2280/8134?

Answer: GCF of Numerators as per given numbers 7856/648, 2280/8134 is

GCF of Numerators i.e. for 7856,2280 is 8

LCM of denominators i.e. for 648,8134 is 2635416.

Thus, GCF of Fractions is 8/2635416.Finally, GCF of Fractions for 7856/648, 2280/8134 is 8/2635416.