Greatest Common Factor of 516/743, 345/722, 417/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 516/743, 345/722, 417/759

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 516/743,345/722,417/759

Given fractions are 516/743,345/722,417/759

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 516,345,417

Greatest Common Factor of Numerators i.e. GCF of 516,345,417 is 3 .

LCM of Denominators means LCM of 743,722,759 as per the given fractions.

LCM of 743,722,759 is 407162514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 516,345,417

GCF of Fractions 516/743,345/722,417/759 is 3/407162514

3 516, 345, 417
172, 115, 139

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 516,345,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,345,417 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 516,345,417 . The biggest common factor number is the GCF number.
So the greatest common factor 516,345,417 is 3.

Lets's calculate LCM of 743,722,759

Given numbers has no common factors except 1. So, there LCM is their product i.e 407162514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/407162514

Therefore, the GCF of Fractions 516/743,345/722,417/759 is 3/407162514

Least Common Multiple of 743,722,759 with GCF Formula

Least Common Multiple of 743,722,759 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 743,722,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,722,759) = 1

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

GCF(743,722,759) x common factors =1 x 1 = 1

LCM(743,722,759) = ( 743 × 722 × 759 ) / 1

LCM(743,722,759) = 407162514 / 1

LCM(743,722,759) = 407162514


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 516/743, 345/722, 417/759

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 516/743, 345/722, 417/759?

Answer: GCF of Numerators as per given numbers 516/743, 345/722, 417/759 is

GCF of Numerators i.e. for 516,345,417 is 3

LCM of denominators i.e. for 743,722,759 is 407162514.

Thus, GCF of Fractions is 3/407162514.Finally, GCF of Fractions for 516/743, 345/722, 417/759 is 3/407162514.