Greatest Common Factor of 747/584, 5513/3612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 747/584, 5513/3612

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 747/584,5513/3612

Given fractions are 747/584,5513/3612

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 747,5513

Greatest Common Factor of Numerators i.e. GCF of 747,5513 is 1 .

LCM of Denominators means LCM of 584,3612 as per the given fractions.

LCM of 584,3612 is 527352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 747,5513

GCF of Fractions 747/584,5513/3612 is 1/527352

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

Greatest Common Factor of 747,5513 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,5513 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 5513

List of positive integer factors of 5513 that divides 5513 without a remainder.

1,37,149,5513

Greatest Common Factor

We found the factors 747,5513 . The biggest common factor number is the GCF number.
So the greatest common factor 747,5513 is 1.

Lets's calculate LCM of 584,3612

2 584, 3612
2 292, 1806
146, 903

∴ So the LCM of the given numbers is 2 x 2 x 146 x 903 = 527352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/527352

Therefore, the GCF of Fractions 747/584,5513/3612 is 1/527352

Least Common Multiple of 584,3612 with GCF Formula

Least Common Multiple of 584,3612 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 584,3612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,3612) = 4

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

GCF(584,3612) x common factors =4 x 1 = 4

LCM(584,3612) = ( 584 × 3612 ) / 4

LCM(584,3612) = 2109408 / 4

LCM(584,3612) = 527352


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 747/584, 5513/3612

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 747/584, 5513/3612?

Answer: GCF of Numerators as per given numbers 747/584, 5513/3612 is

GCF of Numerators i.e. for 747,5513 is 1

LCM of denominators i.e. for 584,3612 is 527352.

Thus, GCF of Fractions is 1/527352.Finally, GCF of Fractions for 747/584, 5513/3612 is 1/527352.