Greatest Common Factor of 750/163, 255/903, 600/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 750/163, 255/903, 600/940

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 750/163,255/903,600/940

Given fractions are 750/163,255/903,600/940

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 750,255,600

Greatest Common Factor of Numerators i.e. GCF of 750,255,600 is 15 .

LCM of Denominators means LCM of 163,903,940 as per the given fractions.

LCM of 163,903,940 is 138357660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 750,255,600

GCF of Fractions 750/163,255/903,600/940 is 15/138357660

3 750, 255, 600
5 250, 85, 200
50, 17, 40

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 750,255,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,255,600 By Matching Biggest Common Factor Method

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 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

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

Greatest Common Factor

We found the factors 750,255,600 . The biggest common factor number is the GCF number.
So the greatest common factor 750,255,600 is 15.

Lets's calculate LCM of 163,903,940

Given numbers has no common factors except 1. So, there LCM is their product i.e 138357660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/138357660

Therefore, the GCF of Fractions 750/163,255/903,600/940 is 15/138357660

Least Common Multiple of 163,903,940 with GCF Formula

Least Common Multiple of 163,903,940 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 163,903,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,903,940) = 1

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

GCF(163,903,940) x common factors =1 x 1 = 1

LCM(163,903,940) = ( 163 × 903 × 940 ) / 1

LCM(163,903,940) = 138357660 / 1

LCM(163,903,940) = 138357660


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 750/163, 255/903, 600/940

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 750/163, 255/903, 600/940?

Answer: GCF of Numerators as per given numbers 750/163, 255/903, 600/940 is

GCF of Numerators i.e. for 750,255,600 is 15

LCM of denominators i.e. for 163,903,940 is 138357660.

Thus, GCF of Fractions is 15/138357660.Finally, GCF of Fractions for 750/163, 255/903, 600/940 is 15/138357660.