Greatest Common Factor of 9786/337, 5094/3693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9786/337, 5094/3693

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 9786/337,5094/3693

Given fractions are 9786/337,5094/3693

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 9786,5094

Greatest Common Factor of Numerators i.e. GCF of 9786,5094 is 6 .

LCM of Denominators means LCM of 337,3693 as per the given fractions.

LCM of 337,3693 is 1244541 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9786,5094

GCF of Fractions 9786/337,5094/3693 is 6/1244541

2 9786, 5094
3 4893, 2547
1631, 849

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9786,5094 By Matching Biggest Common Factor Method

Greatest Common Factor of 9786,5094 By Matching Biggest Common Factor Method

Factors of 9786

List of positive integer factors of 9786 that divides 9786 without a remainder.

1,2,3,6,7,14,21,42,233,466,699,1398,1631,3262,4893,9786

Factors of 5094

List of positive integer factors of 5094 that divides 5094 without a remainder.

1,2,3,6,9,18,283,566,849,1698,2547,5094

Greatest Common Factor

We found the factors 9786,5094 . The biggest common factor number is the GCF number.
So the greatest common factor 9786,5094 is 6.

Lets's calculate LCM of 337,3693

Given numbers has no common factors except 1. So, there LCM is their product i.e 1244541

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1244541

Therefore, the GCF of Fractions 9786/337,5094/3693 is 6/1244541

Least Common Multiple of 337,3693 with GCF Formula

Least Common Multiple of 337,3693 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 337,3693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,3693) = 1

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

GCF(337,3693) x common factors =1 x 1 = 1

LCM(337,3693) = ( 337 × 3693 ) / 1

LCM(337,3693) = 1244541 / 1

LCM(337,3693) = 1244541


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 9786/337, 5094/3693

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 9786/337, 5094/3693?

Answer: GCF of Numerators as per given numbers 9786/337, 5094/3693 is

GCF of Numerators i.e. for 9786,5094 is 6

LCM of denominators i.e. for 337,3693 is 1244541.

Thus, GCF of Fractions is 6/1244541.Finally, GCF of Fractions for 9786/337, 5094/3693 is 6/1244541.