Greatest Common Factor of 3597/742, 4713/7492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3597/742, 4713/7492

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 3597/742,4713/7492

Given fractions are 3597/742,4713/7492

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 3597,4713

Greatest Common Factor of Numerators i.e. GCF of 3597,4713 is 3 .

LCM of Denominators means LCM of 742,7492 as per the given fractions.

LCM of 742,7492 is 2779532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3597,4713

GCF of Fractions 3597/742,4713/7492 is 3/2779532

3 3597, 4713
1199, 1571

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

Greatest Common Factor of 3597,4713 By Matching Biggest Common Factor Method

Greatest Common Factor of 3597,4713 By Matching Biggest Common Factor Method

Factors of 3597

List of positive integer factors of 3597 that divides 3597 without a remainder.

1,3,11,33,109,327,1199,3597

Factors of 4713

List of positive integer factors of 4713 that divides 4713 without a remainder.

1,3,1571,4713

Greatest Common Factor

We found the factors 3597,4713 . The biggest common factor number is the GCF number.
So the greatest common factor 3597,4713 is 3.

Lets's calculate LCM of 742,7492

2 742, 7492
371, 3746

∴ So the LCM of the given numbers is 2 x 371 x 3746 = 2779532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2779532

Therefore, the GCF of Fractions 3597/742,4713/7492 is 3/2779532

Least Common Multiple of 742,7492 with GCF Formula

Least Common Multiple of 742,7492 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 742,7492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,7492) = 2

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

GCF(742,7492) x common factors =2 x 1 = 2

LCM(742,7492) = ( 742 × 7492 ) / 2

LCM(742,7492) = 5559064 / 2

LCM(742,7492) = 2779532


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 3597/742, 4713/7492

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 3597/742, 4713/7492?

Answer: GCF of Numerators as per given numbers 3597/742, 4713/7492 is

GCF of Numerators i.e. for 3597,4713 is 3

LCM of denominators i.e. for 742,7492 is 2779532.

Thus, GCF of Fractions is 3/2779532.Finally, GCF of Fractions for 3597/742, 4713/7492 is 3/2779532.