Greatest Common Factor of 7737/399, 1635/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7737/399, 1635/703

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 7737/399,1635/703

Given fractions are 7737/399,1635/703

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 7737,1635

Greatest Common Factor of Numerators i.e. GCF of 7737,1635 is 3 .

LCM of Denominators means LCM of 399,703 as per the given fractions.

LCM of 399,703 is 14763 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7737,1635

GCF of Fractions 7737/399,1635/703 is 3/14763

3 7737, 1635
2579, 545

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7737,1635 By Matching Biggest Common Factor Method

Greatest Common Factor of 7737,1635 By Matching Biggest Common Factor Method

Factors of 7737

List of positive integer factors of 7737 that divides 7737 without a remainder.

1,3,2579,7737

Factors of 1635

List of positive integer factors of 1635 that divides 1635 without a remainder.

1,3,5,15,109,327,545,1635

Greatest Common Factor

We found the factors 7737,1635 . The biggest common factor number is the GCF number.
So the greatest common factor 7737,1635 is 3.

Lets's calculate LCM of 399,703

19 399, 703
21, 37

∴ So the LCM of the given numbers is 19 x 21 x 37 = 14763

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14763

Therefore, the GCF of Fractions 7737/399,1635/703 is 3/14763

Least Common Multiple of 399,703 with GCF Formula

Least Common Multiple of 399,703 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 399,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,703) = 19

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

GCF(399,703) x common factors =19 x 1 = 19

LCM(399,703) = ( 399 × 703 ) / 19

LCM(399,703) = 280497 / 19

LCM(399,703) = 14763


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 7737/399, 1635/703

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 7737/399, 1635/703?

Answer: GCF of Numerators as per given numbers 7737/399, 1635/703 is

GCF of Numerators i.e. for 7737,1635 is 3

LCM of denominators i.e. for 399,703 is 14763.

Thus, GCF of Fractions is 3/14763.Finally, GCF of Fractions for 7737/399, 1635/703 is 3/14763.