Greatest Common Factor of 600/10, 750/27, 120/28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 600/10, 750/27, 120/28

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 600/10,750/27,120/28

Given fractions are 600/10,750/27,120/28

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 600,750,120

Greatest Common Factor of Numerators i.e. GCF of 600,750,120 is 30 .

LCM of Denominators means LCM of 10,27,28 as per the given fractions.

LCM of 10,27,28 is 3780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 600,750,120

GCF of Fractions 600/10,750/27,120/28 is 30/3780

2 600, 750, 120
3 300, 375, 60
5 100, 125, 20
4, 25, 20

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

Greatest Common Factor of 600,750,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,750,120 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 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 600,750,120 . The biggest common factor number is the GCF number.
So the greatest common factor 600,750,120 is 30.

Lets's calculate LCM of 10,27,28

2 10, 27, 28
5, 27, 14

∴ So the LCM of the given numbers is 2 x 5 x 27 x 14 = 3780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/3780

Therefore, the GCF of Fractions 600/10,750/27,120/28 is 30/3780

Least Common Multiple of 10,27,28 with GCF Formula

Least Common Multiple of 10,27,28 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 10,27,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,27,28) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(10,27,28) x common factors =1 x 2 = 2

LCM(10,27,28) = ( 10 × 27 × 28 ) / 2

LCM(10,27,28) = 7560 / 2

LCM(10,27,28) = 3780


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 600/10, 750/27, 120/28

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 600/10, 750/27, 120/28?

Answer: GCF of Numerators as per given numbers 600/10, 750/27, 120/28 is

GCF of Numerators i.e. for 600,750,120 is 30

LCM of denominators i.e. for 10,27,28 is 3780.

Thus, GCF of Fractions is 30/3780.Finally, GCF of Fractions for 600/10, 750/27, 120/28 is 30/3780.