Greatest Common Factor of 2991/682, 8004/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2991/682, 8004/706

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 2991/682,8004/706

Given fractions are 2991/682,8004/706

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 2991,8004

Greatest Common Factor of Numerators i.e. GCF of 2991,8004 is 3 .

LCM of Denominators means LCM of 682,706 as per the given fractions.

LCM of 682,706 is 240746 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2991,8004

GCF of Fractions 2991/682,8004/706 is 3/240746

3 2991, 8004
997, 2668

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

Greatest Common Factor of 2991,8004 By Matching Biggest Common Factor Method

Greatest Common Factor of 2991,8004 By Matching Biggest Common Factor Method

Factors of 2991

List of positive integer factors of 2991 that divides 2991 without a remainder.

1,3,997,2991

Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004

Greatest Common Factor

We found the factors 2991,8004 . The biggest common factor number is the GCF number.
So the greatest common factor 2991,8004 is 3.

Lets's calculate LCM of 682,706

2 682, 706
341, 353

∴ So the LCM of the given numbers is 2 x 341 x 353 = 240746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/240746

Therefore, the GCF of Fractions 2991/682,8004/706 is 3/240746

Least Common Multiple of 682,706 with GCF Formula

Least Common Multiple of 682,706 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 682,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,706) = 2

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

GCF(682,706) x common factors =2 x 1 = 2

LCM(682,706) = ( 682 × 706 ) / 2

LCM(682,706) = 481492 / 2

LCM(682,706) = 240746


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 2991/682, 8004/706

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 2991/682, 8004/706?

Answer: GCF of Numerators as per given numbers 2991/682, 8004/706 is

GCF of Numerators i.e. for 2991,8004 is 3

LCM of denominators i.e. for 682,706 is 240746.

Thus, GCF of Fractions is 3/240746.Finally, GCF of Fractions for 2991/682, 8004/706 is 3/240746.