Greatest Common Factor of 399/58, 225/14, 168/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 399/58, 225/14, 168/21

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 399/58,225/14,168/21

Given fractions are 399/58,225/14,168/21

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 399,225,168

Greatest Common Factor of Numerators i.e. GCF of 399,225,168 is 3 .

LCM of Denominators means LCM of 58,14,21 as per the given fractions.

LCM of 58,14,21 is 1218 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 399,225,168

GCF of Fractions 399/58,225/14,168/21 is 3/1218

3 399, 225, 168
133, 75, 56

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

Greatest Common Factor of 399,225,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,225,168 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 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 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 399,225,168 . The biggest common factor number is the GCF number.
So the greatest common factor 399,225,168 is 3.

Lets's calculate LCM of 58,14,21

2 58, 14, 21
7 29, 7, 21
29, 1, 3

∴ So the LCM of the given numbers is 2 x 7 x 29 x 1 x 3 = 1218

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1218

Therefore, the GCF of Fractions 399/58,225/14,168/21 is 3/1218

Least Common Multiple of 58,14,21 with GCF Formula

Least Common Multiple of 58,14,21 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 58,14,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,14,21) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(58,14,21) x common factors =1 x 14 = 14

LCM(58,14,21) = ( 58 × 14 × 21 ) / 14

LCM(58,14,21) = 17052 / 14

LCM(58,14,21) = 1218


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 399/58, 225/14, 168/21

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 399/58, 225/14, 168/21?

Answer: GCF of Numerators as per given numbers 399/58, 225/14, 168/21 is

GCF of Numerators i.e. for 399,225,168 is 3

LCM of denominators i.e. for 58,14,21 is 1218.

Thus, GCF of Fractions is 3/1218.Finally, GCF of Fractions for 399/58, 225/14, 168/21 is 3/1218.