Greatest Common Factor of 164/52, 768/10, 309/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 164/52, 768/10, 309/40

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 164/52,768/10,309/40

Given fractions are 164/52,768/10,309/40

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 164,768,309

Greatest Common Factor of Numerators i.e. GCF of 164,768,309 is 1 .

LCM of Denominators means LCM of 52,10,40 as per the given fractions.

LCM of 52,10,40 is 520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 164,768,309

GCF of Fractions 164/52,768/10,309/40 is 1/520

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

Greatest Common Factor of 164,768,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,768,309 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 164,768,309 . The biggest common factor number is the GCF number.
So the greatest common factor 164,768,309 is 1.

Lets's calculate LCM of 52,10,40

2 52, 10, 40
2 26, 5, 20
5 13, 5, 10
13, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 1 x 2 = 520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/520

Therefore, the GCF of Fractions 164/52,768/10,309/40 is 1/520

Least Common Multiple of 52,10,40 with GCF Formula

Least Common Multiple of 52,10,40 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 52,10,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,10,40) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(52,10,40) x common factors =2 x 20 = 40

LCM(52,10,40) = ( 52 × 10 × 40 ) / 40

LCM(52,10,40) = 20800 / 40

LCM(52,10,40) = 520


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 164/52, 768/10, 309/40

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 164/52, 768/10, 309/40?

Answer: GCF of Numerators as per given numbers 164/52, 768/10, 309/40 is

GCF of Numerators i.e. for 164,768,309 is 1

LCM of denominators i.e. for 52,10,40 is 520.

Thus, GCF of Fractions is 1/520.Finally, GCF of Fractions for 164/52, 768/10, 309/40 is 1/520.