Greatest Common Factor of 512/254, 6424/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 512/254, 6424/796

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 512/254,6424/796

Given fractions are 512/254,6424/796

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 512,6424

Greatest Common Factor of Numerators i.e. GCF of 512,6424 is 8 .

LCM of Denominators means LCM of 254,796 as per the given fractions.

LCM of 254,796 is 101092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 512,6424

GCF of Fractions 512/254,6424/796 is 8/101092

2 512, 6424
2 256, 3212
2 128, 1606
64, 803

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

Greatest Common Factor of 512,6424 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,6424 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 6424

List of positive integer factors of 6424 that divides 6424 without a remainder.

1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424

Greatest Common Factor

We found the factors 512,6424 . The biggest common factor number is the GCF number.
So the greatest common factor 512,6424 is 8.

Lets's calculate LCM of 254,796

2 254, 796
127, 398

∴ So the LCM of the given numbers is 2 x 127 x 398 = 101092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/101092

Therefore, the GCF of Fractions 512/254,6424/796 is 8/101092

Least Common Multiple of 254,796 with GCF Formula

Least Common Multiple of 254,796 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 254,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,796) = 2

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

GCF(254,796) x common factors =2 x 1 = 2

LCM(254,796) = ( 254 × 796 ) / 2

LCM(254,796) = 202184 / 2

LCM(254,796) = 101092


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 512/254, 6424/796

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 512/254, 6424/796?

Answer: GCF of Numerators as per given numbers 512/254, 6424/796 is

GCF of Numerators i.e. for 512,6424 is 8

LCM of denominators i.e. for 254,796 is 101092.

Thus, GCF of Fractions is 8/101092.Finally, GCF of Fractions for 512/254, 6424/796 is 8/101092.