Greatest Common Factor of 600/47, 217/47, 400/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 600/47, 217/47, 400/604

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 600/47,217/47,400/604

Given fractions are 600/47,217/47,400/604

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 600,217,400

Greatest Common Factor of Numerators i.e. GCF of 600,217,400 is 1 .

LCM of Denominators means LCM of 47,47,604 as per the given fractions.

LCM of 47,47,604 is 28388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 600,217,400

GCF of Fractions 600/47,217/47,400/604 is 1/28388

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

Greatest Common Factor of 600,217,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,217,400 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 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 600,217,400 . The biggest common factor number is the GCF number.
So the greatest common factor 600,217,400 is 1.

Lets's calculate LCM of 47,47,604

47 47, 47, 604
1, 1, 604

∴ So the LCM of the given numbers is 47 x 1 x 1 x 604 = 28388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28388

Therefore, the GCF of Fractions 600/47,217/47,400/604 is 1/28388

Least Common Multiple of 47,47,604 with GCF Formula

Least Common Multiple of 47,47,604 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 47,47,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,47,604) = 1

common factors(in case of two or more numbers have common factors) = 47

GCF(47,47,604) x common factors =1 x 47 = 47

LCM(47,47,604) = ( 47 × 47 × 604 ) / 47

LCM(47,47,604) = 1334236 / 47

LCM(47,47,604) = 28388


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 600/47, 217/47, 400/604

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 600/47, 217/47, 400/604?

Answer: GCF of Numerators as per given numbers 600/47, 217/47, 400/604 is

GCF of Numerators i.e. for 600,217,400 is 1

LCM of denominators i.e. for 47,47,604 is 28388.

Thus, GCF of Fractions is 1/28388.Finally, GCF of Fractions for 600/47, 217/47, 400/604 is 1/28388.