Greatest Common Factor of 722/791, 6517/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 722/791, 6517/584

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 722/791,6517/584

Given fractions are 722/791,6517/584

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 722,6517

Greatest Common Factor of Numerators i.e. GCF of 722,6517 is 19 .

LCM of Denominators means LCM of 791,584 as per the given fractions.

LCM of 791,584 is 461944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 722,6517

GCF of Fractions 722/791,6517/584 is 19/461944

19 722, 6517
38, 343

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 722,6517 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,6517 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 6517

List of positive integer factors of 6517 that divides 6517 without a remainder.

1,7,19,49,133,343,931,6517

Greatest Common Factor

We found the factors 722,6517 . The biggest common factor number is the GCF number.
So the greatest common factor 722,6517 is 19.

Lets's calculate LCM of 791,584

Given numbers has no common factors except 1. So, there LCM is their product i.e 461944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/461944

Therefore, the GCF of Fractions 722/791,6517/584 is 19/461944

Least Common Multiple of 791,584 with GCF Formula

Least Common Multiple of 791,584 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 791,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,584) = 1

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

GCF(791,584) x common factors =1 x 1 = 1

LCM(791,584) = ( 791 × 584 ) / 1

LCM(791,584) = 461944 / 1

LCM(791,584) = 461944


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 722/791, 6517/584

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 722/791, 6517/584?

Answer: GCF of Numerators as per given numbers 722/791, 6517/584 is

GCF of Numerators i.e. for 722,6517 is 19

LCM of denominators i.e. for 791,584 is 461944.

Thus, GCF of Fractions is 19/461944.Finally, GCF of Fractions for 722/791, 6517/584 is 19/461944.