Greatest Common Factor of 650/41, 192/72, 189/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 650/41, 192/72, 189/696

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 650/41,192/72,189/696

Given fractions are 650/41,192/72,189/696

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 650,192,189

Greatest Common Factor of Numerators i.e. GCF of 650,192,189 is 1 .

LCM of Denominators means LCM of 41,72,696 as per the given fractions.

LCM of 41,72,696 is 85608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 650,192,189

GCF of Fractions 650/41,192/72,189/696 is 1/85608

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

Greatest Common Factor of 650,192,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,192,189 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 650,192,189 . The biggest common factor number is the GCF number.
So the greatest common factor 650,192,189 is 1.

Lets's calculate LCM of 41,72,696

2 41, 72, 696
2 41, 36, 348
2 41, 18, 174
3 41, 9, 87
41, 3, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 41 x 3 x 29 = 85608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85608

Therefore, the GCF of Fractions 650/41,192/72,189/696 is 1/85608

Least Common Multiple of 41,72,696 with GCF Formula

Least Common Multiple of 41,72,696 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 41,72,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,72,696) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(41,72,696) x common factors =1 x 24 = 24

LCM(41,72,696) = ( 41 × 72 × 696 ) / 24

LCM(41,72,696) = 2054592 / 24

LCM(41,72,696) = 85608


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 650/41, 192/72, 189/696

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 650/41, 192/72, 189/696?

Answer: GCF of Numerators as per given numbers 650/41, 192/72, 189/696 is

GCF of Numerators i.e. for 650,192,189 is 1

LCM of denominators i.e. for 41,72,696 is 85608.

Thus, GCF of Fractions is 1/85608.Finally, GCF of Fractions for 650/41, 192/72, 189/696 is 1/85608.