Greatest Common Factor of 12/600, 160/846, 855/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/600, 160/846, 855/428

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 12/600,160/846,855/428

Given fractions are 12/600,160/846,855/428

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 12,160,855

Greatest Common Factor of Numerators i.e. GCF of 12,160,855 is 1 .

LCM of Denominators means LCM of 600,846,428 as per the given fractions.

LCM of 600,846,428 is 9052200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,160,855

GCF of Fractions 12/600,160/846,855/428 is 1/9052200

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

Greatest Common Factor of 12,160,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,160,855 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 12,160,855 . The biggest common factor number is the GCF number.
So the greatest common factor 12,160,855 is 1.

Lets's calculate LCM of 600,846,428

2 600, 846, 428
2 300, 423, 214
3 150, 423, 107
50, 141, 107

∴ So the LCM of the given numbers is 2 x 2 x 3 x 50 x 141 x 107 = 9052200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9052200

Therefore, the GCF of Fractions 12/600,160/846,855/428 is 1/9052200

Least Common Multiple of 600,846,428 with GCF Formula

Least Common Multiple of 600,846,428 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 600,846,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,846,428) = 2

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

GCF(600,846,428) x common factors =2 x 12 = 24

LCM(600,846,428) = ( 600 × 846 × 428 ) / 24

LCM(600,846,428) = 217252800 / 24

LCM(600,846,428) = 9052200


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 12/600, 160/846, 855/428

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 12/600, 160/846, 855/428?

Answer: GCF of Numerators as per given numbers 12/600, 160/846, 855/428 is

GCF of Numerators i.e. for 12,160,855 is 1

LCM of denominators i.e. for 600,846,428 is 9052200.

Thus, GCF of Fractions is 1/9052200.Finally, GCF of Fractions for 12/600, 160/846, 855/428 is 1/9052200.