Greatest Common Factor of 600/168, 4753/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 600/168, 4753/500

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 600/168,4753/500

Given fractions are 600/168,4753/500

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 600,4753

Greatest Common Factor of Numerators i.e. GCF of 600,4753 is 1 .

LCM of Denominators means LCM of 168,500 as per the given fractions.

LCM of 168,500 is 21000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 600,4753

GCF of Fractions 600/168,4753/500 is 1/21000

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 600,4753 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,4753 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 4753

List of positive integer factors of 4753 that divides 4753 without a remainder.

1,7,49,97,679,4753

Greatest Common Factor

We found the factors 600,4753 . The biggest common factor number is the GCF number.
So the greatest common factor 600,4753 is 1.

Lets's calculate LCM of 168,500

2 168, 500
2 84, 250
42, 125

∴ So the LCM of the given numbers is 2 x 2 x 42 x 125 = 21000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21000

Therefore, the GCF of Fractions 600/168,4753/500 is 1/21000

Least Common Multiple of 168,500 with GCF Formula

Least Common Multiple of 168,500 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 168,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,500) = 4

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

GCF(168,500) x common factors =4 x 1 = 4

LCM(168,500) = ( 168 × 500 ) / 4

LCM(168,500) = 84000 / 4

LCM(168,500) = 21000


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 600/168, 4753/500

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 600/168, 4753/500?

Answer: GCF of Numerators as per given numbers 600/168, 4753/500 is

GCF of Numerators i.e. for 600,4753 is 1

LCM of denominators i.e. for 168,500 is 21000.

Thus, GCF of Fractions is 1/21000.Finally, GCF of Fractions for 600/168, 4753/500 is 1/21000.