Greatest Common Factor of 1068/20, 1173/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1068/20, 1173/360

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 1068/20,1173/360

Given fractions are 1068/20,1173/360

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 1068,1173

Greatest Common Factor of Numerators i.e. GCF of 1068,1173 is 3 .

LCM of Denominators means LCM of 20,360 as per the given fractions.

LCM of 20,360 is 360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1068,1173

GCF of Fractions 1068/20,1173/360 is 3/360

3 1068, 1173
356, 391

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1068,1173 By Matching Biggest Common Factor Method

Greatest Common Factor of 1068,1173 By Matching Biggest Common Factor Method

Factors of 1068

List of positive integer factors of 1068 that divides 1068 without a remainder.

1,2,3,4,6,12,89,178,267,356,534,1068

Factors of 1173

List of positive integer factors of 1173 that divides 1173 without a remainder.

1,3,17,23,51,69,391,1173

Greatest Common Factor

We found the factors 1068,1173 . The biggest common factor number is the GCF number.
So the greatest common factor 1068,1173 is 3.

Lets's calculate LCM of 20,360

2 20, 360
2 10, 180
5 5, 90
1, 18

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 18 = 360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/360

Therefore, the GCF of Fractions 1068/20,1173/360 is 3/360

Least Common Multiple of 20,360 with GCF Formula

Least Common Multiple of 20,360 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 20,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,360) = 20

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

GCF(20,360) x common factors =20 x 1 = 20

LCM(20,360) = ( 20 × 360 ) / 20

LCM(20,360) = 7200 / 20

LCM(20,360) = 360


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 1068/20, 1173/360

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 1068/20, 1173/360?

Answer: GCF of Numerators as per given numbers 1068/20, 1173/360 is

GCF of Numerators i.e. for 1068,1173 is 3

LCM of denominators i.e. for 20,360 is 360.

Thus, GCF of Fractions is 3/360.Finally, GCF of Fractions for 1068/20, 1173/360 is 3/360.