Greatest Common Factor of 512/13, 189/71, 246/70

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 512/13, 189/71, 246/70

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 512/13,189/71,246/70

Given fractions are 512/13,189/71,246/70

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 512,189,246

Greatest Common Factor of Numerators i.e. GCF of 512,189,246 is 1 .

LCM of Denominators means LCM of 13,71,70 as per the given fractions.

LCM of 13,71,70 is 64610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 512,189,246

GCF of Fractions 512/13,189/71,246/70 is 1/64610

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

Greatest Common Factor of 512,189,246 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,189,246 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Greatest Common Factor

We found the factors 512,189,246 . The biggest common factor number is the GCF number.
So the greatest common factor 512,189,246 is 1.

Lets's calculate LCM of 13,71,70

Given numbers has no common factors except 1. So, there LCM is their product i.e 64610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64610

Therefore, the GCF of Fractions 512/13,189/71,246/70 is 1/64610

Least Common Multiple of 13,71,70 with GCF Formula

Least Common Multiple of 13,71,70 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 13,71,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,71,70) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(13,71,70) x common factors =1 x 1 = 1

LCM(13,71,70) = ( 13 × 71 × 70 ) / 1

LCM(13,71,70) = 64610 / 1

LCM(13,71,70) = 64610


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 512/13, 189/71, 246/70

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 512/13, 189/71, 246/70?

Answer: GCF of Numerators as per given numbers 512/13, 189/71, 246/70 is

GCF of Numerators i.e. for 512,189,246 is 1

LCM of denominators i.e. for 13,71,70 is 64610.

Thus, GCF of Fractions is 1/64610.Finally, GCF of Fractions for 512/13, 189/71, 246/70 is 1/64610.