Greatest Common Factor of 68/183, 390/116, 972/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/183, 390/116, 972/600

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 68/183,390/116,972/600

Given fractions are 68/183,390/116,972/600

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 68,390,972

Greatest Common Factor of Numerators i.e. GCF of 68,390,972 is 2 .

LCM of Denominators means LCM of 183,116,600 as per the given fractions.

LCM of 183,116,600 is 1061400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,390,972

GCF of Fractions 68/183,390/116,972/600 is 2/1061400

2 68, 390, 972
34, 195, 486

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

Greatest Common Factor of 68,390,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,390,972 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 68,390,972 . The biggest common factor number is the GCF number.
So the greatest common factor 68,390,972 is 2.

Lets's calculate LCM of 183,116,600

2 183, 116, 600
2 183, 58, 300
3 183, 29, 150
61, 29, 50

∴ So the LCM of the given numbers is 2 x 2 x 3 x 61 x 29 x 50 = 1061400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1061400

Therefore, the GCF of Fractions 68/183,390/116,972/600 is 2/1061400

Least Common Multiple of 183,116,600 with GCF Formula

Least Common Multiple of 183,116,600 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 183,116,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(183,116,600) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(183,116,600) x common factors =1 x 12 = 12

LCM(183,116,600) = ( 183 × 116 × 600 ) / 12

LCM(183,116,600) = 12736800 / 12

LCM(183,116,600) = 1061400


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 68/183, 390/116, 972/600

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 68/183, 390/116, 972/600?

Answer: GCF of Numerators as per given numbers 68/183, 390/116, 972/600 is

GCF of Numerators i.e. for 68,390,972 is 2

LCM of denominators i.e. for 183,116,600 is 1061400.

Thus, GCF of Fractions is 2/1061400.Finally, GCF of Fractions for 68/183, 390/116, 972/600 is 2/1061400.