Greatest Common Factor of 436/861, 642/807, 630/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 436/861, 642/807, 630/159

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 436/861,642/807,630/159

Given fractions are 436/861,642/807,630/159

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 436,642,630

Greatest Common Factor of Numerators i.e. GCF of 436,642,630 is 2 .

LCM of Denominators means LCM of 861,807,159 as per the given fractions.

LCM of 861,807,159 is 12275277 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 436,642,630

GCF of Fractions 436/861,642/807,630/159 is 2/12275277

2 436, 642, 630
218, 321, 315

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

Greatest Common Factor of 436,642,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,642,630 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

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 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 436,642,630 . The biggest common factor number is the GCF number.
So the greatest common factor 436,642,630 is 2.

Lets's calculate LCM of 861,807,159

3 861, 807, 159
287, 269, 53

∴ So the LCM of the given numbers is 3 x 287 x 269 x 53 = 12275277

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12275277

Therefore, the GCF of Fractions 436/861,642/807,630/159 is 2/12275277

Least Common Multiple of 861,807,159 with GCF Formula

Least Common Multiple of 861,807,159 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 861,807,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,807,159) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(861,807,159) x common factors =3 x 3 = 9

LCM(861,807,159) = ( 861 × 807 × 159 ) / 9

LCM(861,807,159) = 110477493 / 9

LCM(861,807,159) = 12275277


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 436/861, 642/807, 630/159

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 436/861, 642/807, 630/159?

Answer: GCF of Numerators as per given numbers 436/861, 642/807, 630/159 is

GCF of Numerators i.e. for 436,642,630 is 2

LCM of denominators i.e. for 861,807,159 is 12275277.

Thus, GCF of Fractions is 2/12275277.Finally, GCF of Fractions for 436/861, 642/807, 630/159 is 2/12275277.