Greatest Common Factor of 399/149, 300/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 399/149, 300/446

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 399/149,300/446

Given fractions are 399/149,300/446

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 399,300

Greatest Common Factor of Numerators i.e. GCF of 399,300 is 3 .

LCM of Denominators means LCM of 149,446 as per the given fractions.

LCM of 149,446 is 66454 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 399,300

GCF of Fractions 399/149,300/446 is 3/66454

3 399, 300
133, 100

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

Greatest Common Factor of 399,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,300 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 399,300 . The biggest common factor number is the GCF number.
So the greatest common factor 399,300 is 3.

Lets's calculate LCM of 149,446

Given numbers has no common factors except 1. So, there LCM is their product i.e 66454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/66454

Therefore, the GCF of Fractions 399/149,300/446 is 3/66454

Least Common Multiple of 149,446 with GCF Formula

Least Common Multiple of 149,446 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 149,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,446) = 1

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

GCF(149,446) x common factors =1 x 1 = 1

LCM(149,446) = ( 149 × 446 ) / 1

LCM(149,446) = 66454 / 1

LCM(149,446) = 66454


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 399/149, 300/446

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 399/149, 300/446?

Answer: GCF of Numerators as per given numbers 399/149, 300/446 is

GCF of Numerators i.e. for 399,300 is 3

LCM of denominators i.e. for 149,446 is 66454.

Thus, GCF of Fractions is 3/66454.Finally, GCF of Fractions for 399/149, 300/446 is 3/66454.