Greatest Common Factor of 929/583, 507/703, 722/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 929/583, 507/703, 722/333

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 929/583,507/703,722/333

Given fractions are 929/583,507/703,722/333

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 929,507,722

Greatest Common Factor of Numerators i.e. GCF of 929,507,722 is 1 .

LCM of Denominators means LCM of 583,703,333 as per the given fractions.

LCM of 583,703,333 is 3688641 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 929,507,722

GCF of Fractions 929/583,507/703,722/333 is 1/3688641

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

Greatest Common Factor of 929,507,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,507,722 By Matching Biggest Common Factor Method

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 722

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

1,2,19,38,361,722

Greatest Common Factor

We found the factors 929,507,722 . The biggest common factor number is the GCF number.
So the greatest common factor 929,507,722 is 1.

Lets's calculate LCM of 583,703,333

37 583, 703, 333
583, 19, 9

∴ So the LCM of the given numbers is 37 x 583 x 19 x 9 = 3688641

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3688641

Therefore, the GCF of Fractions 929/583,507/703,722/333 is 1/3688641

Least Common Multiple of 583,703,333 with GCF Formula

Least Common Multiple of 583,703,333 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 583,703,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,703,333) = 1

common factors(in case of two or more numbers have common factors) = 37

GCF(583,703,333) x common factors =1 x 37 = 37

LCM(583,703,333) = ( 583 × 703 × 333 ) / 37

LCM(583,703,333) = 136479717 / 37

LCM(583,703,333) = 3688641


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 929/583, 507/703, 722/333

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 929/583, 507/703, 722/333?

Answer: GCF of Numerators as per given numbers 929/583, 507/703, 722/333 is

GCF of Numerators i.e. for 929,507,722 is 1

LCM of denominators i.e. for 583,703,333 is 3688641.

Thus, GCF of Fractions is 1/3688641.Finally, GCF of Fractions for 929/583, 507/703, 722/333 is 1/3688641.