Greatest Common Factor of 600/3171, 680/4407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 600/3171, 680/4407

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 600/3171,680/4407

Given fractions are 600/3171,680/4407

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 600,680

Greatest Common Factor of Numerators i.e. GCF of 600,680 is 40 .

LCM of Denominators means LCM of 3171,4407 as per the given fractions.

LCM of 3171,4407 is 4658199 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 600,680

GCF of Fractions 600/3171,680/4407 is 40/4658199

2 600, 680
2 300, 340
2 150, 170
5 75, 85
15, 17

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Greatest Common Factor of 600,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,680 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

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

Greatest Common Factor

We found the factors 600,680 . The biggest common factor number is the GCF number.
So the greatest common factor 600,680 is 40.

Lets's calculate LCM of 3171,4407

3 3171, 4407
1057, 1469

∴ So the LCM of the given numbers is 3 x 1057 x 1469 = 4658199

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/4658199

Therefore, the GCF of Fractions 600/3171,680/4407 is 40/4658199

Least Common Multiple of 3171,4407 with GCF Formula

Least Common Multiple of 3171,4407 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 3171,4407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3171,4407) = 3

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

GCF(3171,4407) x common factors =3 x 1 = 3

LCM(3171,4407) = ( 3171 × 4407 ) / 3

LCM(3171,4407) = 13974597 / 3

LCM(3171,4407) = 4658199


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 600/3171, 680/4407

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 600/3171, 680/4407?

Answer: GCF of Numerators as per given numbers 600/3171, 680/4407 is

GCF of Numerators i.e. for 600,680 is 40

LCM of denominators i.e. for 3171,4407 is 4658199.

Thus, GCF of Fractions is 40/4658199.Finally, GCF of Fractions for 600/3171, 680/4407 is 40/4658199.