Greatest Common Factor of 6366/743, 2498/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6366/743, 2498/117

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 6366/743,2498/117

Given fractions are 6366/743,2498/117

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 6366,2498

Greatest Common Factor of Numerators i.e. GCF of 6366,2498 is 2 .

LCM of Denominators means LCM of 743,117 as per the given fractions.

LCM of 743,117 is 86931 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6366,2498

GCF of Fractions 6366/743,2498/117 is 2/86931

2 6366, 2498
3183, 1249

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6366,2498 By Matching Biggest Common Factor Method

Greatest Common Factor of 6366,2498 By Matching Biggest Common Factor Method

Factors of 6366

List of positive integer factors of 6366 that divides 6366 without a remainder.

1,2,3,6,1061,2122,3183,6366

Factors of 2498

List of positive integer factors of 2498 that divides 2498 without a remainder.

1,2,1249,2498

Greatest Common Factor

We found the factors 6366,2498 . The biggest common factor number is the GCF number.
So the greatest common factor 6366,2498 is 2.

Lets's calculate LCM of 743,117

Given numbers has no common factors except 1. So, there LCM is their product i.e 86931

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86931

Therefore, the GCF of Fractions 6366/743,2498/117 is 2/86931

Least Common Multiple of 743,117 with GCF Formula

Least Common Multiple of 743,117 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 743,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,117) = 1

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

GCF(743,117) x common factors =1 x 1 = 1

LCM(743,117) = ( 743 × 117 ) / 1

LCM(743,117) = 86931 / 1

LCM(743,117) = 86931


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 6366/743, 2498/117

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 6366/743, 2498/117?

Answer: GCF of Numerators as per given numbers 6366/743, 2498/117 is

GCF of Numerators i.e. for 6366,2498 is 2

LCM of denominators i.e. for 743,117 is 86931.

Thus, GCF of Fractions is 2/86931.Finally, GCF of Fractions for 6366/743, 2498/117 is 2/86931.