Greatest Common Factor of 640/17, 847/13, 713/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 640/17, 847/13, 713/13

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 640/17,847/13,713/13

Given fractions are 640/17,847/13,713/13

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 640,847,713

Greatest Common Factor of Numerators i.e. GCF of 640,847,713 is 1 .

LCM of Denominators means LCM of 17,13,13 as per the given fractions.

LCM of 17,13,13 is 221 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 640,847,713

GCF of Fractions 640/17,847/13,713/13 is 1/221

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

Greatest Common Factor of 640,847,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,847,713 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 640,847,713 . The biggest common factor number is the GCF number.
So the greatest common factor 640,847,713 is 1.

Lets's calculate LCM of 17,13,13

13 17, 13, 13
17, 1, 1

∴ So the LCM of the given numbers is 13 x 17 x 1 x 1 = 221

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221

Therefore, the GCF of Fractions 640/17,847/13,713/13 is 1/221

Least Common Multiple of 17,13,13 with GCF Formula

Least Common Multiple of 17,13,13 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 17,13,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,13,13) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(17,13,13) x common factors =1 x 13 = 13

LCM(17,13,13) = ( 17 × 13 × 13 ) / 13

LCM(17,13,13) = 2873 / 13

LCM(17,13,13) = 221


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 640/17, 847/13, 713/13

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 640/17, 847/13, 713/13?

Answer: GCF of Numerators as per given numbers 640/17, 847/13, 713/13 is

GCF of Numerators i.e. for 640,847,713 is 1

LCM of denominators i.e. for 17,13,13 is 221.

Thus, GCF of Fractions is 1/221.Finally, GCF of Fractions for 640/17, 847/13, 713/13 is 1/221.