Greatest Common Factor of 96/31, 88/60, 360/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/31, 88/60, 360/45

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 96/31,88/60,360/45

Given fractions are 96/31,88/60,360/45

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 96,88,360

Greatest Common Factor of Numerators i.e. GCF of 96,88,360 is 8 .

LCM of Denominators means LCM of 31,60,45 as per the given fractions.

LCM of 31,60,45 is 5580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,88,360

GCF of Fractions 96/31,88/60,360/45 is 8/5580

2 96, 88, 360
2 48, 44, 180
2 24, 22, 90
12, 11, 45

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 96,88,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,88,360 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

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

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

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

Greatest Common Factor

We found the factors 96,88,360 . The biggest common factor number is the GCF number.
So the greatest common factor 96,88,360 is 8.

Lets's calculate LCM of 31,60,45

3 31, 60, 45
5 31, 20, 15
31, 4, 3

∴ So the LCM of the given numbers is 3 x 5 x 31 x 4 x 3 = 5580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5580

Therefore, the GCF of Fractions 96/31,88/60,360/45 is 8/5580

Least Common Multiple of 31,60,45 with GCF Formula

Least Common Multiple of 31,60,45 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 31,60,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,60,45) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(31,60,45) x common factors =1 x 15 = 15

LCM(31,60,45) = ( 31 × 60 × 45 ) / 15

LCM(31,60,45) = 83700 / 15

LCM(31,60,45) = 5580


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 96/31, 88/60, 360/45

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 96/31, 88/60, 360/45?

Answer: GCF of Numerators as per given numbers 96/31, 88/60, 360/45 is

GCF of Numerators i.e. for 96,88,360 is 8

LCM of denominators i.e. for 31,60,45 is 5580.

Thus, GCF of Fractions is 8/5580.Finally, GCF of Fractions for 96/31, 88/60, 360/45 is 8/5580.