Greatest Common Factor of 718/11, 512/46, 680/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 718/11, 512/46, 680/331

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 718/11,512/46,680/331

Given fractions are 718/11,512/46,680/331

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 718,512,680

Greatest Common Factor of Numerators i.e. GCF of 718,512,680 is 2 .

LCM of Denominators means LCM of 11,46,331 as per the given fractions.

LCM of 11,46,331 is 167486 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 718,512,680

GCF of Fractions 718/11,512/46,680/331 is 2/167486

2 718, 512, 680
359, 256, 340

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 718,512,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,512,680 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

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 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 718,512,680 . The biggest common factor number is the GCF number.
So the greatest common factor 718,512,680 is 2.

Lets's calculate LCM of 11,46,331

Given numbers has no common factors except 1. So, there LCM is their product i.e 167486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/167486

Therefore, the GCF of Fractions 718/11,512/46,680/331 is 2/167486

Least Common Multiple of 11,46,331 with GCF Formula

Least Common Multiple of 11,46,331 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 11,46,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,46,331) = 1

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

GCF(11,46,331) x common factors =1 x 1 = 1

LCM(11,46,331) = ( 11 × 46 × 331 ) / 1

LCM(11,46,331) = 167486 / 1

LCM(11,46,331) = 167486


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 718/11, 512/46, 680/331

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 718/11, 512/46, 680/331?

Answer: GCF of Numerators as per given numbers 718/11, 512/46, 680/331 is

GCF of Numerators i.e. for 718,512,680 is 2

LCM of denominators i.e. for 11,46,331 is 167486.

Thus, GCF of Fractions is 2/167486.Finally, GCF of Fractions for 718/11, 512/46, 680/331 is 2/167486.