Greatest Common Factor of 642/8255, 564/5421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 642/8255, 564/5421

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 642/8255,564/5421

Given fractions are 642/8255,564/5421

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 642,564

Greatest Common Factor of Numerators i.e. GCF of 642,564 is 6 .

LCM of Denominators means LCM of 8255,5421 as per the given fractions.

LCM of 8255,5421 is 3442335 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 642,564

GCF of Fractions 642/8255,564/5421 is 6/3442335

2 642, 564
3 321, 282
107, 94

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 642,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,564 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 642,564 . The biggest common factor number is the GCF number.
So the greatest common factor 642,564 is 6.

Lets's calculate LCM of 8255,5421

13 8255, 5421
635, 417

∴ So the LCM of the given numbers is 13 x 635 x 417 = 3442335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3442335

Therefore, the GCF of Fractions 642/8255,564/5421 is 6/3442335

Least Common Multiple of 8255,5421 with GCF Formula

Least Common Multiple of 8255,5421 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 8255,5421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8255,5421) = 13

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

GCF(8255,5421) x common factors =13 x 1 = 13

LCM(8255,5421) = ( 8255 × 5421 ) / 13

LCM(8255,5421) = 44750355 / 13

LCM(8255,5421) = 3442335


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 642/8255, 564/5421

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 642/8255, 564/5421?

Answer: GCF of Numerators as per given numbers 642/8255, 564/5421 is

GCF of Numerators i.e. for 642,564 is 6

LCM of denominators i.e. for 8255,5421 is 3442335.

Thus, GCF of Fractions is 6/3442335.Finally, GCF of Fractions for 642/8255, 564/5421 is 6/3442335.