Greatest Common Factor of 5494/731, 5925/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5494/731, 5925/493

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 5494/731,5925/493

Given fractions are 5494/731,5925/493

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 5494,5925

Greatest Common Factor of Numerators i.e. GCF of 5494,5925 is 1 .

LCM of Denominators means LCM of 731,493 as per the given fractions.

LCM of 731,493 is 21199 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5494,5925

GCF of Fractions 5494/731,5925/493 is 1/21199

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

Greatest Common Factor of 5494,5925 By Matching Biggest Common Factor Method

Greatest Common Factor of 5494,5925 By Matching Biggest Common Factor Method

Factors of 5494

List of positive integer factors of 5494 that divides 5494 without a remainder.

1,2,41,67,82,134,2747,5494

Factors of 5925

List of positive integer factors of 5925 that divides 5925 without a remainder.

1,3,5,15,25,75,79,237,395,1185,1975,5925

Greatest Common Factor

We found the factors 5494,5925 . The biggest common factor number is the GCF number.
So the greatest common factor 5494,5925 is 1.

Lets's calculate LCM of 731,493

17 731, 493
43, 29

∴ So the LCM of the given numbers is 17 x 43 x 29 = 21199

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21199

Therefore, the GCF of Fractions 5494/731,5925/493 is 1/21199

Least Common Multiple of 731,493 with GCF Formula

Least Common Multiple of 731,493 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 731,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,493) = 17

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

GCF(731,493) x common factors =17 x 1 = 17

LCM(731,493) = ( 731 × 493 ) / 17

LCM(731,493) = 360383 / 17

LCM(731,493) = 21199


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 5494/731, 5925/493

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 5494/731, 5925/493?

Answer: GCF of Numerators as per given numbers 5494/731, 5925/493 is

GCF of Numerators i.e. for 5494,5925 is 1

LCM of denominators i.e. for 731,493 is 21199.

Thus, GCF of Fractions is 1/21199.Finally, GCF of Fractions for 5494/731, 5925/493 is 1/21199.