Greatest Common Factor of 9591/759, 4043/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9591/759, 4043/748

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 9591/759,4043/748

Given fractions are 9591/759,4043/748

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 9591,4043

Greatest Common Factor of Numerators i.e. GCF of 9591,4043 is 1 .

LCM of Denominators means LCM of 759,748 as per the given fractions.

LCM of 759,748 is 51612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9591,4043

GCF of Fractions 9591/759,4043/748 is 1/51612

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

Greatest Common Factor of 9591,4043 By Matching Biggest Common Factor Method

Greatest Common Factor of 9591,4043 By Matching Biggest Common Factor Method

Factors of 9591

List of positive integer factors of 9591 that divides 9591 without a remainder.

1,3,23,69,139,417,3197,9591

Factors of 4043

List of positive integer factors of 4043 that divides 4043 without a remainder.

1,13,311,4043

Greatest Common Factor

We found the factors 9591,4043 . The biggest common factor number is the GCF number.
So the greatest common factor 9591,4043 is 1.

Lets's calculate LCM of 759,748

11 759, 748
69, 68

∴ So the LCM of the given numbers is 11 x 69 x 68 = 51612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51612

Therefore, the GCF of Fractions 9591/759,4043/748 is 1/51612

Least Common Multiple of 759,748 with GCF Formula

Least Common Multiple of 759,748 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 759,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,748) = 11

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

GCF(759,748) x common factors =11 x 1 = 11

LCM(759,748) = ( 759 × 748 ) / 11

LCM(759,748) = 567732 / 11

LCM(759,748) = 51612


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 9591/759, 4043/748

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 9591/759, 4043/748?

Answer: GCF of Numerators as per given numbers 9591/759, 4043/748 is

GCF of Numerators i.e. for 9591,4043 is 1

LCM of denominators i.e. for 759,748 is 51612.

Thus, GCF of Fractions is 1/51612.Finally, GCF of Fractions for 9591/759, 4043/748 is 1/51612.