Greatest Common Factor of 66/861, 318/294, 222/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/861, 318/294, 222/565

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 66/861,318/294,222/565

Given fractions are 66/861,318/294,222/565

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 66,318,222

Greatest Common Factor of Numerators i.e. GCF of 66,318,222 is 6 .

LCM of Denominators means LCM of 861,294,565 as per the given fractions.

LCM of 861,294,565 is 6810510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,318,222

GCF of Fractions 66/861,318/294,222/565 is 6/6810510

2 66, 318, 222
3 33, 159, 111
11, 53, 37

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

Greatest Common Factor of 66,318,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,318,222 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 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 66,318,222 . The biggest common factor number is the GCF number.
So the greatest common factor 66,318,222 is 6.

Lets's calculate LCM of 861,294,565

3 861, 294, 565
7 287, 98, 565
41, 14, 565

∴ So the LCM of the given numbers is 3 x 7 x 41 x 14 x 565 = 6810510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6810510

Therefore, the GCF of Fractions 66/861,318/294,222/565 is 6/6810510

Least Common Multiple of 861,294,565 with GCF Formula

Least Common Multiple of 861,294,565 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 861,294,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,294,565) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(861,294,565) x common factors =1 x 21 = 21

LCM(861,294,565) = ( 861 × 294 × 565 ) / 21

LCM(861,294,565) = 143020710 / 21

LCM(861,294,565) = 6810510


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 66/861, 318/294, 222/565

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 66/861, 318/294, 222/565?

Answer: GCF of Numerators as per given numbers 66/861, 318/294, 222/565 is

GCF of Numerators i.e. for 66,318,222 is 6

LCM of denominators i.e. for 861,294,565 is 6810510.

Thus, GCF of Fractions is 6/6810510.Finally, GCF of Fractions for 66/861, 318/294, 222/565 is 6/6810510.