Greatest Common Factor of 32/16, 360/10, 552/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/16, 360/10, 552/73

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 32/16,360/10,552/73

Given fractions are 32/16,360/10,552/73

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 32,360,552

Greatest Common Factor of Numerators i.e. GCF of 32,360,552 is 8 .

LCM of Denominators means LCM of 16,10,73 as per the given fractions.

LCM of 16,10,73 is 5840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,360,552

GCF of Fractions 32/16,360/10,552/73 is 8/5840

2 32, 360, 552
2 16, 180, 276
2 8, 90, 138
4, 45, 69

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

Greatest Common Factor of 32,360,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,360,552 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

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 32,360,552 . The biggest common factor number is the GCF number.
So the greatest common factor 32,360,552 is 8.

Lets's calculate LCM of 16,10,73

2 16, 10, 73
8, 5, 73

∴ So the LCM of the given numbers is 2 x 8 x 5 x 73 = 5840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5840

Therefore, the GCF of Fractions 32/16,360/10,552/73 is 8/5840

Least Common Multiple of 16,10,73 with GCF Formula

Least Common Multiple of 16,10,73 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 16,10,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,10,73) = 1

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

GCF(16,10,73) x common factors =1 x 2 = 2

LCM(16,10,73) = ( 16 × 10 × 73 ) / 2

LCM(16,10,73) = 11680 / 2

LCM(16,10,73) = 5840


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 32/16, 360/10, 552/73

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 32/16, 360/10, 552/73?

Answer: GCF of Numerators as per given numbers 32/16, 360/10, 552/73 is

GCF of Numerators i.e. for 32,360,552 is 8

LCM of denominators i.e. for 16,10,73 is 5840.

Thus, GCF of Fractions is 8/5840.Finally, GCF of Fractions for 32/16, 360/10, 552/73 is 8/5840.