Greatest Common Factor of 442/40, 394/81, 284/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 442/40, 394/81, 284/805

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 442/40,394/81,284/805

Given fractions are 442/40,394/81,284/805

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 442,394,284

Greatest Common Factor of Numerators i.e. GCF of 442,394,284 is 2 .

LCM of Denominators means LCM of 40,81,805 as per the given fractions.

LCM of 40,81,805 is 521640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 442,394,284

GCF of Fractions 442/40,394/81,284/805 is 2/521640

2 442, 394, 284
221, 197, 142

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 442,394,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,394,284 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 284

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

1,2,4,71,142,284

Greatest Common Factor

We found the factors 442,394,284 . The biggest common factor number is the GCF number.
So the greatest common factor 442,394,284 is 2.

Lets's calculate LCM of 40,81,805

5 40, 81, 805
8, 81, 161

∴ So the LCM of the given numbers is 5 x 8 x 81 x 161 = 521640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/521640

Therefore, the GCF of Fractions 442/40,394/81,284/805 is 2/521640

Least Common Multiple of 40,81,805 with GCF Formula

Least Common Multiple of 40,81,805 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 40,81,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,81,805) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(40,81,805) x common factors =1 x 5 = 5

LCM(40,81,805) = ( 40 × 81 × 805 ) / 5

LCM(40,81,805) = 2608200 / 5

LCM(40,81,805) = 521640


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 442/40, 394/81, 284/805

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 442/40, 394/81, 284/805?

Answer: GCF of Numerators as per given numbers 442/40, 394/81, 284/805 is

GCF of Numerators i.e. for 442,394,284 is 2

LCM of denominators i.e. for 40,81,805 is 521640.

Thus, GCF of Fractions is 2/521640.Finally, GCF of Fractions for 442/40, 394/81, 284/805 is 2/521640.