Greatest Common Factor of 680/645, 8006/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 680/645, 8006/249

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 680/645,8006/249

Given fractions are 680/645,8006/249

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 680,8006

Greatest Common Factor of Numerators i.e. GCF of 680,8006 is 2 .

LCM of Denominators means LCM of 645,249 as per the given fractions.

LCM of 645,249 is 53535 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 680,8006

GCF of Fractions 680/645,8006/249 is 2/53535

2 680, 8006
340, 4003

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

Greatest Common Factor of 680,8006 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,8006 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 8006

List of positive integer factors of 8006 that divides 8006 without a remainder.

1,2,4003,8006

Greatest Common Factor

We found the factors 680,8006 . The biggest common factor number is the GCF number.
So the greatest common factor 680,8006 is 2.

Lets's calculate LCM of 645,249

3 645, 249
215, 83

∴ So the LCM of the given numbers is 3 x 215 x 83 = 53535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53535

Therefore, the GCF of Fractions 680/645,8006/249 is 2/53535

Least Common Multiple of 645,249 with GCF Formula

Least Common Multiple of 645,249 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 645,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,249) = 3

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

GCF(645,249) x common factors =3 x 1 = 3

LCM(645,249) = ( 645 × 249 ) / 3

LCM(645,249) = 160605 / 3

LCM(645,249) = 53535


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 680/645, 8006/249

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 680/645, 8006/249?

Answer: GCF of Numerators as per given numbers 680/645, 8006/249 is

GCF of Numerators i.e. for 680,8006 is 2

LCM of denominators i.e. for 645,249 is 53535.

Thus, GCF of Fractions is 2/53535.Finally, GCF of Fractions for 680/645, 8006/249 is 2/53535.