Greatest Common Factor of 600/17, 210/7390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 600/17, 210/7390

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 600/17,210/7390

Given fractions are 600/17,210/7390

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 600,210

Greatest Common Factor of Numerators i.e. GCF of 600,210 is 30 .

LCM of Denominators means LCM of 17,7390 as per the given fractions.

LCM of 17,7390 is 125630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 600,210

GCF of Fractions 600/17,210/7390 is 30/125630

2 600, 210
3 300, 105
5 100, 35
20, 7

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 600,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,210 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 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 600,210 . The biggest common factor number is the GCF number.
So the greatest common factor 600,210 is 30.

Lets's calculate LCM of 17,7390

Given numbers has no common factors except 1. So, there LCM is their product i.e 125630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/125630

Therefore, the GCF of Fractions 600/17,210/7390 is 30/125630

Least Common Multiple of 17,7390 with GCF Formula

Least Common Multiple of 17,7390 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 17,7390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,7390) = 1

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

GCF(17,7390) x common factors =1 x 1 = 1

LCM(17,7390) = ( 17 × 7390 ) / 1

LCM(17,7390) = 125630 / 1

LCM(17,7390) = 125630


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 600/17, 210/7390

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 600/17, 210/7390?

Answer: GCF of Numerators as per given numbers 600/17, 210/7390 is

GCF of Numerators i.e. for 600,210 is 30

LCM of denominators i.e. for 17,7390 is 125630.

Thus, GCF of Fractions is 30/125630.Finally, GCF of Fractions for 600/17, 210/7390 is 30/125630.