Greatest Common Factor of 28/94, 284/95, 155/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/94, 284/95, 155/466

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 28/94,284/95,155/466

Given fractions are 28/94,284/95,155/466

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 28,284,155

Greatest Common Factor of Numerators i.e. GCF of 28,284,155 is 1 .

LCM of Denominators means LCM of 94,95,466 as per the given fractions.

LCM of 94,95,466 is 2080690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,284,155

GCF of Fractions 28/94,284/95,155/466 is 1/2080690

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

Greatest Common Factor of 28,284,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,284,155 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 28,284,155 . The biggest common factor number is the GCF number.
So the greatest common factor 28,284,155 is 1.

Lets's calculate LCM of 94,95,466

2 94, 95, 466
47, 95, 233

∴ So the LCM of the given numbers is 2 x 47 x 95 x 233 = 2080690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2080690

Therefore, the GCF of Fractions 28/94,284/95,155/466 is 1/2080690

Least Common Multiple of 94,95,466 with GCF Formula

Least Common Multiple of 94,95,466 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 94,95,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,95,466) = 1

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

GCF(94,95,466) x common factors =1 x 2 = 2

LCM(94,95,466) = ( 94 × 95 × 466 ) / 2

LCM(94,95,466) = 4161380 / 2

LCM(94,95,466) = 2080690


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 28/94, 284/95, 155/466

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 28/94, 284/95, 155/466?

Answer: GCF of Numerators as per given numbers 28/94, 284/95, 155/466 is

GCF of Numerators i.e. for 28,284,155 is 1

LCM of denominators i.e. for 94,95,466 is 2080690.

Thus, GCF of Fractions is 1/2080690.Finally, GCF of Fractions for 28/94, 284/95, 155/466 is 1/2080690.