Greatest Common Factor of 459/84, 191/29, 612/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 459/84, 191/29, 612/148

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 459/84,191/29,612/148

Given fractions are 459/84,191/29,612/148

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 459,191,612

Greatest Common Factor of Numerators i.e. GCF of 459,191,612 is 1 .

LCM of Denominators means LCM of 84,29,148 as per the given fractions.

LCM of 84,29,148 is 90132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 459,191,612

GCF of Fractions 459/84,191/29,612/148 is 1/90132

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 459,191,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,191,612 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 459,191,612 . The biggest common factor number is the GCF number.
So the greatest common factor 459,191,612 is 1.

Lets's calculate LCM of 84,29,148

2 84, 29, 148
2 42, 29, 74
21, 29, 37

∴ So the LCM of the given numbers is 2 x 2 x 21 x 29 x 37 = 90132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90132

Therefore, the GCF of Fractions 459/84,191/29,612/148 is 1/90132

Least Common Multiple of 84,29,148 with GCF Formula

Least Common Multiple of 84,29,148 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 84,29,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,29,148) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(84,29,148) x common factors =1 x 4 = 4

LCM(84,29,148) = ( 84 × 29 × 148 ) / 4

LCM(84,29,148) = 360528 / 4

LCM(84,29,148) = 90132


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 459/84, 191/29, 612/148

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 459/84, 191/29, 612/148?

Answer: GCF of Numerators as per given numbers 459/84, 191/29, 612/148 is

GCF of Numerators i.e. for 459,191,612 is 1

LCM of denominators i.e. for 84,29,148 is 90132.

Thus, GCF of Fractions is 1/90132.Finally, GCF of Fractions for 459/84, 191/29, 612/148 is 1/90132.