Greatest Common Factor of 146/252, 408/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 146/252, 408/888

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 146/252,408/888

Given fractions are 146/252,408/888

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 146,408

Greatest Common Factor of Numerators i.e. GCF of 146,408 is 2 .

LCM of Denominators means LCM of 252,888 as per the given fractions.

LCM of 252,888 is 18648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 146,408

GCF of Fractions 146/252,408/888 is 2/18648

2 146, 408
73, 204

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 146,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,408 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 146,408 . The biggest common factor number is the GCF number.
So the greatest common factor 146,408 is 2.

Lets's calculate LCM of 252,888

2 252, 888
2 126, 444
3 63, 222
21, 74

∴ So the LCM of the given numbers is 2 x 2 x 3 x 21 x 74 = 18648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18648

Therefore, the GCF of Fractions 146/252,408/888 is 2/18648

Least Common Multiple of 252,888 with GCF Formula

Least Common Multiple of 252,888 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 252,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,888) = 12

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

GCF(252,888) x common factors =12 x 1 = 12

LCM(252,888) = ( 252 × 888 ) / 12

LCM(252,888) = 223776 / 12

LCM(252,888) = 18648


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 146/252, 408/888

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 146/252, 408/888?

Answer: GCF of Numerators as per given numbers 146/252, 408/888 is

GCF of Numerators i.e. for 146,408 is 2

LCM of denominators i.e. for 252,888 is 18648.

Thus, GCF of Fractions is 2/18648.Finally, GCF of Fractions for 146/252, 408/888 is 2/18648.