Greatest Common Factor of 6432/510, 8638/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6432/510, 8638/813

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 6432/510,8638/813

Given fractions are 6432/510,8638/813

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 6432,8638

Greatest Common Factor of Numerators i.e. GCF of 6432,8638 is 2 .

LCM of Denominators means LCM of 510,813 as per the given fractions.

LCM of 510,813 is 138210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6432,8638

GCF of Fractions 6432/510,8638/813 is 2/138210

2 6432, 8638
3216, 4319

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

Greatest Common Factor of 6432,8638 By Matching Biggest Common Factor Method

Greatest Common Factor of 6432,8638 By Matching Biggest Common Factor Method

Factors of 6432

List of positive integer factors of 6432 that divides 6432 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432

Factors of 8638

List of positive integer factors of 8638 that divides 8638 without a remainder.

1,2,7,14,617,1234,4319,8638

Greatest Common Factor

We found the factors 6432,8638 . The biggest common factor number is the GCF number.
So the greatest common factor 6432,8638 is 2.

Lets's calculate LCM of 510,813

3 510, 813
170, 271

∴ So the LCM of the given numbers is 3 x 170 x 271 = 138210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/138210

Therefore, the GCF of Fractions 6432/510,8638/813 is 2/138210

Least Common Multiple of 510,813 with GCF Formula

Least Common Multiple of 510,813 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 510,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,813) = 3

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

GCF(510,813) x common factors =3 x 1 = 3

LCM(510,813) = ( 510 × 813 ) / 3

LCM(510,813) = 414630 / 3

LCM(510,813) = 138210


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 6432/510, 8638/813

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 6432/510, 8638/813?

Answer: GCF of Numerators as per given numbers 6432/510, 8638/813 is

GCF of Numerators i.e. for 6432,8638 is 2

LCM of denominators i.e. for 510,813 is 138210.

Thus, GCF of Fractions is 2/138210.Finally, GCF of Fractions for 6432/510, 8638/813 is 2/138210.