Greatest Common Factor of 663/7428, 918/2849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 663/7428, 918/2849

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 663/7428,918/2849

Given fractions are 663/7428,918/2849

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 663,918

Greatest Common Factor of Numerators i.e. GCF of 663,918 is 51 .

LCM of Denominators means LCM of 7428,2849 as per the given fractions.

LCM of 7428,2849 is 21162372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 663,918

GCF of Fractions 663/7428,918/2849 is 51/21162372

3 663, 918
17 221, 306
13, 18

∴ So the GCF of the given numbers is 3 x 17 = 51

Greatest Common Factor of 663,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,918 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 663,918 . The biggest common factor number is the GCF number.
So the greatest common factor 663,918 is 51.

Lets's calculate LCM of 7428,2849

Given numbers has no common factors except 1. So, there LCM is their product i.e 21162372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/21162372

Therefore, the GCF of Fractions 663/7428,918/2849 is 51/21162372

Least Common Multiple of 7428,2849 with GCF Formula

Least Common Multiple of 7428,2849 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 7428,2849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7428,2849) = 1

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

GCF(7428,2849) x common factors =1 x 1 = 1

LCM(7428,2849) = ( 7428 × 2849 ) / 1

LCM(7428,2849) = 21162372 / 1

LCM(7428,2849) = 21162372


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 663/7428, 918/2849

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 663/7428, 918/2849?

Answer: GCF of Numerators as per given numbers 663/7428, 918/2849 is

GCF of Numerators i.e. for 663,918 is 51

LCM of denominators i.e. for 7428,2849 is 21162372.

Thus, GCF of Fractions is 51/21162372.Finally, GCF of Fractions for 663/7428, 918/2849 is 51/21162372.