Greatest Common Factor of 360/99, 327/62, 967/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 360/99, 327/62, 967/144

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 360/99,327/62,967/144

Given fractions are 360/99,327/62,967/144

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 360,327,967

Greatest Common Factor of Numerators i.e. GCF of 360,327,967 is 1 .

LCM of Denominators means LCM of 99,62,144 as per the given fractions.

LCM of 99,62,144 is 49104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 360,327,967

GCF of Fractions 360/99,327/62,967/144 is 1/49104

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

Greatest Common Factor of 360,327,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,327,967 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 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 360,327,967 . The biggest common factor number is the GCF number.
So the greatest common factor 360,327,967 is 1.

Lets's calculate LCM of 99,62,144

2 99, 62, 144
3 99, 31, 72
3 33, 31, 24
11, 31, 8

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 31 x 8 = 49104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49104

Therefore, the GCF of Fractions 360/99,327/62,967/144 is 1/49104

Least Common Multiple of 99,62,144 with GCF Formula

Least Common Multiple of 99,62,144 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 99,62,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,62,144) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(99,62,144) x common factors =1 x 18 = 18

LCM(99,62,144) = ( 99 × 62 × 144 ) / 18

LCM(99,62,144) = 883872 / 18

LCM(99,62,144) = 49104


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 360/99, 327/62, 967/144

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 360/99, 327/62, 967/144?

Answer: GCF of Numerators as per given numbers 360/99, 327/62, 967/144 is

GCF of Numerators i.e. for 360,327,967 is 1

LCM of denominators i.e. for 99,62,144 is 49104.

Thus, GCF of Fractions is 1/49104.Finally, GCF of Fractions for 360/99, 327/62, 967/144 is 1/49104.