Greatest Common Factor of 478/98, 421/46, 227/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 478/98, 421/46, 227/36

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 478/98,421/46,227/36

Given fractions are 478/98,421/46,227/36

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 478,421,227

Greatest Common Factor of Numerators i.e. GCF of 478,421,227 is 1 .

LCM of Denominators means LCM of 98,46,36 as per the given fractions.

LCM of 98,46,36 is 40572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 478,421,227

GCF of Fractions 478/98,421/46,227/36 is 1/40572

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

Greatest Common Factor of 478,421,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,421,227 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors 478,421,227 . The biggest common factor number is the GCF number.
So the greatest common factor 478,421,227 is 1.

Lets's calculate LCM of 98,46,36

2 98, 46, 36
49, 23, 18

∴ So the LCM of the given numbers is 2 x 49 x 23 x 18 = 40572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40572

Therefore, the GCF of Fractions 478/98,421/46,227/36 is 1/40572

Least Common Multiple of 98,46,36 with GCF Formula

Least Common Multiple of 98,46,36 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 98,46,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,46,36) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(98,46,36) x common factors =2 x 2 = 4

LCM(98,46,36) = ( 98 × 46 × 36 ) / 4

LCM(98,46,36) = 162288 / 4

LCM(98,46,36) = 40572


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 478/98, 421/46, 227/36

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 478/98, 421/46, 227/36?

Answer: GCF of Numerators as per given numbers 478/98, 421/46, 227/36 is

GCF of Numerators i.e. for 478,421,227 is 1

LCM of denominators i.e. for 98,46,36 is 40572.

Thus, GCF of Fractions is 1/40572.Finally, GCF of Fractions for 478/98, 421/46, 227/36 is 1/40572.