Greatest Common Factor of 7983/709, 3087/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7983/709, 3087/562

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 7983/709,3087/562

Given fractions are 7983/709,3087/562

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 7983,3087

Greatest Common Factor of Numerators i.e. GCF of 7983,3087 is 9 .

LCM of Denominators means LCM of 709,562 as per the given fractions.

LCM of 709,562 is 398458 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7983,3087

GCF of Fractions 7983/709,3087/562 is 9/398458

3 7983, 3087
3 2661, 1029
887, 343

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 7983,3087 By Matching Biggest Common Factor Method

Greatest Common Factor of 7983,3087 By Matching Biggest Common Factor Method

Factors of 7983

List of positive integer factors of 7983 that divides 7983 without a remainder.

1,3,9,887,2661,7983

Factors of 3087

List of positive integer factors of 3087 that divides 3087 without a remainder.

1,3,7,9,21,49,63,147,343,441,1029,3087

Greatest Common Factor

We found the factors 7983,3087 . The biggest common factor number is the GCF number.
So the greatest common factor 7983,3087 is 9.

Lets's calculate LCM of 709,562

Given numbers has no common factors except 1. So, there LCM is their product i.e 398458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/398458

Therefore, the GCF of Fractions 7983/709,3087/562 is 9/398458

Least Common Multiple of 709,562 with GCF Formula

Least Common Multiple of 709,562 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 709,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,562) = 1

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

GCF(709,562) x common factors =1 x 1 = 1

LCM(709,562) = ( 709 × 562 ) / 1

LCM(709,562) = 398458 / 1

LCM(709,562) = 398458


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 7983/709, 3087/562

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 7983/709, 3087/562?

Answer: GCF of Numerators as per given numbers 7983/709, 3087/562 is

GCF of Numerators i.e. for 7983,3087 is 9

LCM of denominators i.e. for 709,562 is 398458.

Thus, GCF of Fractions is 9/398458.Finally, GCF of Fractions for 7983/709, 3087/562 is 9/398458.