Greatest Common Factor of 501/23, 734/52, 741/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 501/23, 734/52, 741/759

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 501/23,734/52,741/759

Given fractions are 501/23,734/52,741/759

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 501,734,741

Greatest Common Factor of Numerators i.e. GCF of 501,734,741 is 1 .

LCM of Denominators means LCM of 23,52,759 as per the given fractions.

LCM of 23,52,759 is 39468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 501,734,741

GCF of Fractions 501/23,734/52,741/759 is 1/39468

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

Greatest Common Factor of 501,734,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,734,741 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 501,734,741 . The biggest common factor number is the GCF number.
So the greatest common factor 501,734,741 is 1.

Lets's calculate LCM of 23,52,759

23 23, 52, 759
1, 52, 33

∴ So the LCM of the given numbers is 23 x 1 x 52 x 33 = 39468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39468

Therefore, the GCF of Fractions 501/23,734/52,741/759 is 1/39468

Least Common Multiple of 23,52,759 with GCF Formula

Least Common Multiple of 23,52,759 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 23,52,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,52,759) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(23,52,759) x common factors =1 x 23 = 23

LCM(23,52,759) = ( 23 × 52 × 759 ) / 23

LCM(23,52,759) = 907764 / 23

LCM(23,52,759) = 39468


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 501/23, 734/52, 741/759

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 501/23, 734/52, 741/759?

Answer: GCF of Numerators as per given numbers 501/23, 734/52, 741/759 is

GCF of Numerators i.e. for 501,734,741 is 1

LCM of denominators i.e. for 23,52,759 is 39468.

Thus, GCF of Fractions is 1/39468.Finally, GCF of Fractions for 501/23, 734/52, 741/759 is 1/39468.