Greatest Common Factor of 75/16, 80/915, 556/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/16, 80/915, 556/480

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 75/16,80/915,556/480

Given fractions are 75/16,80/915,556/480

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 75,80,556

Greatest Common Factor of Numerators i.e. GCF of 75,80,556 is 1 .

LCM of Denominators means LCM of 16,915,480 as per the given fractions.

LCM of 16,915,480 is 29280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,80,556

GCF of Fractions 75/16,80/915,556/480 is 1/29280

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

Greatest Common Factor of 75,80,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,80,556 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 75,80,556 . The biggest common factor number is the GCF number.
So the greatest common factor 75,80,556 is 1.

Lets's calculate LCM of 16,915,480

2 16, 915, 480
2 8, 915, 240
2 4, 915, 120
2 2, 915, 60
3 1, 915, 30
5 1, 305, 10
1, 61, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 1 x 61 x 2 = 29280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29280

Therefore, the GCF of Fractions 75/16,80/915,556/480 is 1/29280

Least Common Multiple of 16,915,480 with GCF Formula

Least Common Multiple of 16,915,480 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 16,915,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,915,480) = 1

common factors(in case of two or more numbers have common factors) = 240

GCF(16,915,480) x common factors =1 x 240 = 240

LCM(16,915,480) = ( 16 × 915 × 480 ) / 240

LCM(16,915,480) = 7027200 / 240

LCM(16,915,480) = 29280


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 75/16, 80/915, 556/480

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 75/16, 80/915, 556/480?

Answer: GCF of Numerators as per given numbers 75/16, 80/915, 556/480 is

GCF of Numerators i.e. for 75,80,556 is 1

LCM of denominators i.e. for 16,915,480 is 29280.

Thus, GCF of Fractions is 1/29280.Finally, GCF of Fractions for 75/16, 80/915, 556/480 is 1/29280.