Greatest Common Factor of 147/15, 222/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 147/15, 222/199

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 147/15,222/199

Given fractions are 147/15,222/199

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 147,222

Greatest Common Factor of Numerators i.e. GCF of 147,222 is 3 .

LCM of Denominators means LCM of 15,199 as per the given fractions.

LCM of 15,199 is 2985 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 147,222

GCF of Fractions 147/15,222/199 is 3/2985

3 147, 222
49, 74

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

Greatest Common Factor of 147,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,222 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 147,222 . The biggest common factor number is the GCF number.
So the greatest common factor 147,222 is 3.

Lets's calculate LCM of 15,199

Given numbers has no common factors except 1. So, there LCM is their product i.e 2985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2985

Therefore, the GCF of Fractions 147/15,222/199 is 3/2985

Least Common Multiple of 15,199 with GCF Formula

Least Common Multiple of 15,199 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 15,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,199) = 1

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

GCF(15,199) x common factors =1 x 1 = 1

LCM(15,199) = ( 15 × 199 ) / 1

LCM(15,199) = 2985 / 1

LCM(15,199) = 2985


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 147/15, 222/199

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 147/15, 222/199?

Answer: GCF of Numerators as per given numbers 147/15, 222/199 is

GCF of Numerators i.e. for 147,222 is 3

LCM of denominators i.e. for 15,199 is 2985.

Thus, GCF of Fractions is 3/2985.Finally, GCF of Fractions for 147/15, 222/199 is 3/2985.