Greatest Common Factor of 32/109, 360/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/109, 360/984

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 32/109,360/984

Given fractions are 32/109,360/984

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 32,360

Greatest Common Factor of Numerators i.e. GCF of 32,360 is 8 .

LCM of Denominators means LCM of 109,984 as per the given fractions.

LCM of 109,984 is 107256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,360

GCF of Fractions 32/109,360/984 is 8/107256

2 32, 360
2 16, 180
2 8, 90
4, 45

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

Greatest Common Factor of 32,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,360 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

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 32,360 . The biggest common factor number is the GCF number.
So the greatest common factor 32,360 is 8.

Lets's calculate LCM of 109,984

Given numbers has no common factors except 1. So, there LCM is their product i.e 107256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/107256

Therefore, the GCF of Fractions 32/109,360/984 is 8/107256

Least Common Multiple of 109,984 with GCF Formula

Least Common Multiple of 109,984 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 109,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,984) = 1

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

GCF(109,984) x common factors =1 x 1 = 1

LCM(109,984) = ( 109 × 984 ) / 1

LCM(109,984) = 107256 / 1

LCM(109,984) = 107256


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 32/109, 360/984

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 32/109, 360/984?

Answer: GCF of Numerators as per given numbers 32/109, 360/984 is

GCF of Numerators i.e. for 32,360 is 8

LCM of denominators i.e. for 109,984 is 107256.

Thus, GCF of Fractions is 8/107256.Finally, GCF of Fractions for 32/109, 360/984 is 8/107256.