Greatest Common Factor of 636/921, 1576/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 636/921, 1576/567

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 636/921,1576/567

Given fractions are 636/921,1576/567

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 636,1576

Greatest Common Factor of Numerators i.e. GCF of 636,1576 is 4 .

LCM of Denominators means LCM of 921,567 as per the given fractions.

LCM of 921,567 is 174069 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 636,1576

GCF of Fractions 636/921,1576/567 is 4/174069

2 636, 1576
2 318, 788
159, 394

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 636,1576 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,1576 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 1576

List of positive integer factors of 1576 that divides 1576 without a remainder.

1,2,4,8,197,394,788,1576

Greatest Common Factor

We found the factors 636,1576 . The biggest common factor number is the GCF number.
So the greatest common factor 636,1576 is 4.

Lets's calculate LCM of 921,567

3 921, 567
307, 189

∴ So the LCM of the given numbers is 3 x 307 x 189 = 174069

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/174069

Therefore, the GCF of Fractions 636/921,1576/567 is 4/174069

Least Common Multiple of 921,567 with GCF Formula

Least Common Multiple of 921,567 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 921,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,567) = 3

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

GCF(921,567) x common factors =3 x 1 = 3

LCM(921,567) = ( 921 × 567 ) / 3

LCM(921,567) = 522207 / 3

LCM(921,567) = 174069


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 636/921, 1576/567

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 636/921, 1576/567?

Answer: GCF of Numerators as per given numbers 636/921, 1576/567 is

GCF of Numerators i.e. for 636,1576 is 4

LCM of denominators i.e. for 921,567 is 174069.

Thus, GCF of Fractions is 4/174069.Finally, GCF of Fractions for 636/921, 1576/567 is 4/174069.