Greatest Common Factor of 213/59, 468/51, 264/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 213/59, 468/51, 264/646

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 213/59,468/51,264/646

Given fractions are 213/59,468/51,264/646

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 213,468,264

Greatest Common Factor of Numerators i.e. GCF of 213,468,264 is 3 .

LCM of Denominators means LCM of 59,51,646 as per the given fractions.

LCM of 59,51,646 is 114342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 213,468,264

GCF of Fractions 213/59,468/51,264/646 is 3/114342

3 213, 468, 264
71, 156, 88

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 213,468,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,468,264 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

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

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 213,468,264 . The biggest common factor number is the GCF number.
So the greatest common factor 213,468,264 is 3.

Lets's calculate LCM of 59,51,646

17 59, 51, 646
59, 3, 38

∴ So the LCM of the given numbers is 17 x 59 x 3 x 38 = 114342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/114342

Therefore, the GCF of Fractions 213/59,468/51,264/646 is 3/114342

Least Common Multiple of 59,51,646 with GCF Formula

Least Common Multiple of 59,51,646 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 59,51,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,51,646) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(59,51,646) x common factors =1 x 17 = 17

LCM(59,51,646) = ( 59 × 51 × 646 ) / 17

LCM(59,51,646) = 1943814 / 17

LCM(59,51,646) = 114342


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 213/59, 468/51, 264/646

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 213/59, 468/51, 264/646?

Answer: GCF of Numerators as per given numbers 213/59, 468/51, 264/646 is

GCF of Numerators i.e. for 213,468,264 is 3

LCM of denominators i.e. for 59,51,646 is 114342.

Thus, GCF of Fractions is 3/114342.Finally, GCF of Fractions for 213/59, 468/51, 264/646 is 3/114342.