Greatest Common Factor of 360/32, 860/83, 720/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 360/32, 860/83, 720/138

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 360/32,860/83,720/138

Given fractions are 360/32,860/83,720/138

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 360,860,720

Greatest Common Factor of Numerators i.e. GCF of 360,860,720 is 20 .

LCM of Denominators means LCM of 32,83,138 as per the given fractions.

LCM of 32,83,138 is 183264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 360,860,720

GCF of Fractions 360/32,860/83,720/138 is 20/183264

2 360, 860, 720
2 180, 430, 360
5 90, 215, 180
18, 43, 36

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 360,860,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,860,720 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 360,860,720 . The biggest common factor number is the GCF number.
So the greatest common factor 360,860,720 is 20.

Lets's calculate LCM of 32,83,138

2 32, 83, 138
16, 83, 69

∴ So the LCM of the given numbers is 2 x 16 x 83 x 69 = 183264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/183264

Therefore, the GCF of Fractions 360/32,860/83,720/138 is 20/183264

Least Common Multiple of 32,83,138 with GCF Formula

Least Common Multiple of 32,83,138 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 32,83,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,83,138) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(32,83,138) x common factors =1 x 2 = 2

LCM(32,83,138) = ( 32 × 83 × 138 ) / 2

LCM(32,83,138) = 366528 / 2

LCM(32,83,138) = 183264


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 360/32, 860/83, 720/138

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 360/32, 860/83, 720/138?

Answer: GCF of Numerators as per given numbers 360/32, 860/83, 720/138 is

GCF of Numerators i.e. for 360,860,720 is 20

LCM of denominators i.e. for 32,83,138 is 183264.

Thus, GCF of Fractions is 20/183264.Finally, GCF of Fractions for 360/32, 860/83, 720/138 is 20/183264.