Greatest Common Factor of 5801/76, 1725/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5801/76, 1725/936

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 5801/76,1725/936

Given fractions are 5801/76,1725/936

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 5801,1725

Greatest Common Factor of Numerators i.e. GCF of 5801,1725 is 1 .

LCM of Denominators means LCM of 76,936 as per the given fractions.

LCM of 76,936 is 17784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5801,1725

GCF of Fractions 5801/76,1725/936 is 1/17784

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

Greatest Common Factor of 5801,1725 By Matching Biggest Common Factor Method

Greatest Common Factor of 5801,1725 By Matching Biggest Common Factor Method

Factors of 5801

List of positive integer factors of 5801 that divides 5801 without a remainder.

1,5801

Factors of 1725

List of positive integer factors of 1725 that divides 1725 without a remainder.

1,3,5,15,23,25,69,75,115,345,575,1725

Greatest Common Factor

We found the factors 5801,1725 . The biggest common factor number is the GCF number.
So the greatest common factor 5801,1725 is 1.

Lets's calculate LCM of 76,936

2 76, 936
2 38, 468
19, 234

∴ So the LCM of the given numbers is 2 x 2 x 19 x 234 = 17784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17784

Therefore, the GCF of Fractions 5801/76,1725/936 is 1/17784

Least Common Multiple of 76,936 with GCF Formula

Least Common Multiple of 76,936 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 76,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,936) = 4

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

GCF(76,936) x common factors =4 x 1 = 4

LCM(76,936) = ( 76 × 936 ) / 4

LCM(76,936) = 71136 / 4

LCM(76,936) = 17784


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 5801/76, 1725/936

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 5801/76, 1725/936?

Answer: GCF of Numerators as per given numbers 5801/76, 1725/936 is

GCF of Numerators i.e. for 5801,1725 is 1

LCM of denominators i.e. for 76,936 is 17784.

Thus, GCF of Fractions is 1/17784.Finally, GCF of Fractions for 5801/76, 1725/936 is 1/17784.