Greatest Common Factor of 477/28, 227/55, 478/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 477/28, 227/55, 478/466

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 477/28,227/55,478/466

Given fractions are 477/28,227/55,478/466

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 477,227,478

Greatest Common Factor of Numerators i.e. GCF of 477,227,478 is 1 .

LCM of Denominators means LCM of 28,55,466 as per the given fractions.

LCM of 28,55,466 is 358820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 477,227,478

GCF of Fractions 477/28,227/55,478/466 is 1/358820

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

Greatest Common Factor of 477,227,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,227,478 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 227

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

1,227

Factors of 478

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

1,2,239,478

Greatest Common Factor

We found the factors 477,227,478 . The biggest common factor number is the GCF number.
So the greatest common factor 477,227,478 is 1.

Lets's calculate LCM of 28,55,466

2 28, 55, 466
14, 55, 233

∴ So the LCM of the given numbers is 2 x 14 x 55 x 233 = 358820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358820

Therefore, the GCF of Fractions 477/28,227/55,478/466 is 1/358820

Least Common Multiple of 28,55,466 with GCF Formula

Least Common Multiple of 28,55,466 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 28,55,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,55,466) = 1

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

GCF(28,55,466) x common factors =1 x 2 = 2

LCM(28,55,466) = ( 28 × 55 × 466 ) / 2

LCM(28,55,466) = 717640 / 2

LCM(28,55,466) = 358820


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 477/28, 227/55, 478/466

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 477/28, 227/55, 478/466?

Answer: GCF of Numerators as per given numbers 477/28, 227/55, 478/466 is

GCF of Numerators i.e. for 477,227,478 is 1

LCM of denominators i.e. for 28,55,466 is 358820.

Thus, GCF of Fractions is 1/358820.Finally, GCF of Fractions for 477/28, 227/55, 478/466 is 1/358820.