Greatest Common Factor of 5097/774, 5546/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5097/774, 5546/738

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 5097/774,5546/738

Given fractions are 5097/774,5546/738

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 5097,5546

Greatest Common Factor of Numerators i.e. GCF of 5097,5546 is 1 .

LCM of Denominators means LCM of 774,738 as per the given fractions.

LCM of 774,738 is 31734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5097,5546

GCF of Fractions 5097/774,5546/738 is 1/31734

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

Greatest Common Factor of 5097,5546 By Matching Biggest Common Factor Method

Greatest Common Factor of 5097,5546 By Matching Biggest Common Factor Method

Factors of 5097

List of positive integer factors of 5097 that divides 5097 without a remainder.

1,3,1699,5097

Factors of 5546

List of positive integer factors of 5546 that divides 5546 without a remainder.

1,2,47,59,94,118,2773,5546

Greatest Common Factor

We found the factors 5097,5546 . The biggest common factor number is the GCF number.
So the greatest common factor 5097,5546 is 1.

Lets's calculate LCM of 774,738

2 774, 738
3 387, 369
3 129, 123
43, 41

∴ So the LCM of the given numbers is 2 x 3 x 3 x 43 x 41 = 31734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31734

Therefore, the GCF of Fractions 5097/774,5546/738 is 1/31734

Least Common Multiple of 774,738 with GCF Formula

Least Common Multiple of 774,738 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 774,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,738) = 18

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

GCF(774,738) x common factors =18 x 1 = 18

LCM(774,738) = ( 774 × 738 ) / 18

LCM(774,738) = 571212 / 18

LCM(774,738) = 31734


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 5097/774, 5546/738

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 5097/774, 5546/738?

Answer: GCF of Numerators as per given numbers 5097/774, 5546/738 is

GCF of Numerators i.e. for 5097,5546 is 1

LCM of denominators i.e. for 774,738 is 31734.

Thus, GCF of Fractions is 1/31734.Finally, GCF of Fractions for 5097/774, 5546/738 is 1/31734.