Greatest Common Factor of 324/53, 646/10, 265/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 324/53, 646/10, 265/68

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 324/53,646/10,265/68

Given fractions are 324/53,646/10,265/68

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 324,646,265

Greatest Common Factor of Numerators i.e. GCF of 324,646,265 is 1 .

LCM of Denominators means LCM of 53,10,68 as per the given fractions.

LCM of 53,10,68 is 18020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 324,646,265

GCF of Fractions 324/53,646/10,265/68 is 1/18020

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 324,646,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,646,265 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 324,646,265 . The biggest common factor number is the GCF number.
So the greatest common factor 324,646,265 is 1.

Lets's calculate LCM of 53,10,68

2 53, 10, 68
53, 5, 34

∴ So the LCM of the given numbers is 2 x 53 x 5 x 34 = 18020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18020

Therefore, the GCF of Fractions 324/53,646/10,265/68 is 1/18020

Least Common Multiple of 53,10,68 with GCF Formula

Least Common Multiple of 53,10,68 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 53,10,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,10,68) = 1

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

GCF(53,10,68) x common factors =1 x 2 = 2

LCM(53,10,68) = ( 53 × 10 × 68 ) / 2

LCM(53,10,68) = 36040 / 2

LCM(53,10,68) = 18020


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 324/53, 646/10, 265/68

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 324/53, 646/10, 265/68?

Answer: GCF of Numerators as per given numbers 324/53, 646/10, 265/68 is

GCF of Numerators i.e. for 324,646,265 is 1

LCM of denominators i.e. for 53,10,68 is 18020.

Thus, GCF of Fractions is 1/18020.Finally, GCF of Fractions for 324/53, 646/10, 265/68 is 1/18020.