Greatest Common Factor of 423/95, 187/51, 489/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 423/95, 187/51, 489/408

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 423/95,187/51,489/408

Given fractions are 423/95,187/51,489/408

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 423,187,489

Greatest Common Factor of Numerators i.e. GCF of 423,187,489 is 1 .

LCM of Denominators means LCM of 95,51,408 as per the given fractions.

LCM of 95,51,408 is 38760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 423,187,489

GCF of Fractions 423/95,187/51,489/408 is 1/38760

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

Greatest Common Factor of 423,187,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,187,489 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 423,187,489 . The biggest common factor number is the GCF number.
So the greatest common factor 423,187,489 is 1.

Lets's calculate LCM of 95,51,408

3 95, 51, 408
17 95, 17, 136
95, 1, 8

∴ So the LCM of the given numbers is 3 x 17 x 95 x 1 x 8 = 38760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38760

Therefore, the GCF of Fractions 423/95,187/51,489/408 is 1/38760

Least Common Multiple of 95,51,408 with GCF Formula

Least Common Multiple of 95,51,408 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 95,51,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,51,408) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(95,51,408) x common factors =1 x 51 = 51

LCM(95,51,408) = ( 95 × 51 × 408 ) / 51

LCM(95,51,408) = 1976760 / 51

LCM(95,51,408) = 38760


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 423/95, 187/51, 489/408

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 423/95, 187/51, 489/408?

Answer: GCF of Numerators as per given numbers 423/95, 187/51, 489/408 is

GCF of Numerators i.e. for 423,187,489 is 1

LCM of denominators i.e. for 95,51,408 is 38760.

Thus, GCF of Fractions is 1/38760.Finally, GCF of Fractions for 423/95, 187/51, 489/408 is 1/38760.