Greatest Common Factor of 552/71, 225/89, 186/15

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 552/71, 225/89, 186/15

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 552/71,225/89,186/15

Given fractions are 552/71,225/89,186/15

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 552,225,186

Greatest Common Factor of Numerators i.e. GCF of 552,225,186 is 3 .

LCM of Denominators means LCM of 71,89,15 as per the given fractions.

LCM of 71,89,15 is 94785 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 552,225,186

GCF of Fractions 552/71,225/89,186/15 is 3/94785

3 552, 225, 186
184, 75, 62

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 552,225,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,225,186 By Matching Biggest Common Factor Method

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

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 552,225,186 . The biggest common factor number is the GCF number.
So the greatest common factor 552,225,186 is 3.

Lets's calculate LCM of 71,89,15

Given numbers has no common factors except 1. So, there LCM is their product i.e 94785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/94785

Therefore, the GCF of Fractions 552/71,225/89,186/15 is 3/94785

Least Common Multiple of 71,89,15 with GCF Formula

Least Common Multiple of 71,89,15 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 71,89,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,89,15) = 1

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

GCF(71,89,15) x common factors =1 x 1 = 1

LCM(71,89,15) = ( 71 × 89 × 15 ) / 1

LCM(71,89,15) = 94785 / 1

LCM(71,89,15) = 94785


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 552/71, 225/89, 186/15

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 552/71, 225/89, 186/15?

Answer: GCF of Numerators as per given numbers 552/71, 225/89, 186/15 is

GCF of Numerators i.e. for 552,225,186 is 3

LCM of denominators i.e. for 71,89,15 is 94785.

Thus, GCF of Fractions is 3/94785.Finally, GCF of Fractions for 552/71, 225/89, 186/15 is 3/94785.