Greatest Common Factor of 4542/728, 1769/7826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4542/728, 1769/7826

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 4542/728,1769/7826

Given fractions are 4542/728,1769/7826

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 4542,1769

Greatest Common Factor of Numerators i.e. GCF of 4542,1769 is 1 .

LCM of Denominators means LCM of 728,7826 as per the given fractions.

LCM of 728,7826 is 31304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4542,1769

GCF of Fractions 4542/728,1769/7826 is 1/31304

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

Greatest Common Factor of 4542,1769 By Matching Biggest Common Factor Method

Greatest Common Factor of 4542,1769 By Matching Biggest Common Factor Method

Factors of 4542

List of positive integer factors of 4542 that divides 4542 without a remainder.

1,2,3,6,757,1514,2271,4542

Factors of 1769

List of positive integer factors of 1769 that divides 1769 without a remainder.

1,29,61,1769

Greatest Common Factor

We found the factors 4542,1769 . The biggest common factor number is the GCF number.
So the greatest common factor 4542,1769 is 1.

Lets's calculate LCM of 728,7826

2 728, 7826
7 364, 3913
13 52, 559
4, 43

∴ So the LCM of the given numbers is 2 x 7 x 13 x 4 x 43 = 31304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31304

Therefore, the GCF of Fractions 4542/728,1769/7826 is 1/31304

Least Common Multiple of 728,7826 with GCF Formula

Least Common Multiple of 728,7826 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 728,7826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,7826) = 182

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

GCF(728,7826) x common factors =182 x 1 = 182

LCM(728,7826) = ( 728 × 7826 ) / 182

LCM(728,7826) = 5697328 / 182

LCM(728,7826) = 31304


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 4542/728, 1769/7826

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 4542/728, 1769/7826?

Answer: GCF of Numerators as per given numbers 4542/728, 1769/7826 is

GCF of Numerators i.e. for 4542,1769 is 1

LCM of denominators i.e. for 728,7826 is 31304.

Thus, GCF of Fractions is 1/31304.Finally, GCF of Fractions for 4542/728, 1769/7826 is 1/31304.