Greatest Common Factor of 66/316, 570/278, 468/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/316, 570/278, 468/641

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 66/316,570/278,468/641

Given fractions are 66/316,570/278,468/641

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 66,570,468

Greatest Common Factor of Numerators i.e. GCF of 66,570,468 is 6 .

LCM of Denominators means LCM of 316,278,641 as per the given fractions.

LCM of 316,278,641 is 28155284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,570,468

GCF of Fractions 66/316,570/278,468/641 is 6/28155284

2 66, 570, 468
3 33, 285, 234
11, 95, 78

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

Greatest Common Factor of 66,570,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,570,468 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 66,570,468 . The biggest common factor number is the GCF number.
So the greatest common factor 66,570,468 is 6.

Lets's calculate LCM of 316,278,641

2 316, 278, 641
158, 139, 641

∴ So the LCM of the given numbers is 2 x 158 x 139 x 641 = 28155284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/28155284

Therefore, the GCF of Fractions 66/316,570/278,468/641 is 6/28155284

Least Common Multiple of 316,278,641 with GCF Formula

Least Common Multiple of 316,278,641 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 316,278,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,278,641) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(316,278,641) x common factors =1 x 2 = 2

LCM(316,278,641) = ( 316 × 278 × 641 ) / 2

LCM(316,278,641) = 56310568 / 2

LCM(316,278,641) = 28155284


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 66/316, 570/278, 468/641

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 66/316, 570/278, 468/641?

Answer: GCF of Numerators as per given numbers 66/316, 570/278, 468/641 is

GCF of Numerators i.e. for 66,570,468 is 6

LCM of denominators i.e. for 316,278,641 is 28155284.

Thus, GCF of Fractions is 6/28155284.Finally, GCF of Fractions for 66/316, 570/278, 468/641 is 6/28155284.