Greatest Common Factor of 600/67, 476/43, 596/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 600/67, 476/43, 596/374

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 600/67,476/43,596/374

Given fractions are 600/67,476/43,596/374

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 600,476,596

Greatest Common Factor of Numerators i.e. GCF of 600,476,596 is 4 .

LCM of Denominators means LCM of 67,43,374 as per the given fractions.

LCM of 67,43,374 is 1077494 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 600,476,596

GCF of Fractions 600/67,476/43,596/374 is 4/1077494

2 600, 476, 596
2 300, 238, 298
150, 119, 149

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 600,476,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,476,596 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 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 600,476,596 . The biggest common factor number is the GCF number.
So the greatest common factor 600,476,596 is 4.

Lets's calculate LCM of 67,43,374

Given numbers has no common factors except 1. So, there LCM is their product i.e 1077494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1077494

Therefore, the GCF of Fractions 600/67,476/43,596/374 is 4/1077494

Least Common Multiple of 67,43,374 with GCF Formula

Least Common Multiple of 67,43,374 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 67,43,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,43,374) = 1

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

GCF(67,43,374) x common factors =1 x 1 = 1

LCM(67,43,374) = ( 67 × 43 × 374 ) / 1

LCM(67,43,374) = 1077494 / 1

LCM(67,43,374) = 1077494


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 600/67, 476/43, 596/374

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 600/67, 476/43, 596/374?

Answer: GCF of Numerators as per given numbers 600/67, 476/43, 596/374 is

GCF of Numerators i.e. for 600,476,596 is 4

LCM of denominators i.e. for 67,43,374 is 1077494.

Thus, GCF of Fractions is 4/1077494.Finally, GCF of Fractions for 600/67, 476/43, 596/374 is 4/1077494.