Greatest Common Factor of 817/428, 494/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 817/428, 494/916

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 817/428,494/916

Given fractions are 817/428,494/916

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 817,494

Greatest Common Factor of Numerators i.e. GCF of 817,494 is 19 .

LCM of Denominators means LCM of 428,916 as per the given fractions.

LCM of 428,916 is 98012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 817,494

GCF of Fractions 817/428,494/916 is 19/98012

19 817, 494
43, 26

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 817,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,494 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 817,494 . The biggest common factor number is the GCF number.
So the greatest common factor 817,494 is 19.

Lets's calculate LCM of 428,916

2 428, 916
2 214, 458
107, 229

∴ So the LCM of the given numbers is 2 x 2 x 107 x 229 = 98012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/98012

Therefore, the GCF of Fractions 817/428,494/916 is 19/98012

Least Common Multiple of 428,916 with GCF Formula

Least Common Multiple of 428,916 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 428,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,916) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(428,916) x common factors =4 x 1 = 4

LCM(428,916) = ( 428 × 916 ) / 4

LCM(428,916) = 392048 / 4

LCM(428,916) = 98012


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 817/428, 494/916

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 817/428, 494/916?

Answer: GCF of Numerators as per given numbers 817/428, 494/916 is

GCF of Numerators i.e. for 817,494 is 19

LCM of denominators i.e. for 428,916 is 98012.

Thus, GCF of Fractions is 19/98012.Finally, GCF of Fractions for 817/428, 494/916 is 19/98012.