Greatest Common Factor of 816/584, 849/254, 213/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 816/584, 849/254, 213/494

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 816/584,849/254,213/494

Given fractions are 816/584,849/254,213/494

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 816,849,213

Greatest Common Factor of Numerators i.e. GCF of 816,849,213 is 3 .

LCM of Denominators means LCM of 584,254,494 as per the given fractions.

LCM of 584,254,494 is 18319496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 816,849,213

GCF of Fractions 816/584,849/254,213/494 is 3/18319496

3 816, 849, 213
272, 283, 71

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 816,849,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,849,213 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 816,849,213 . The biggest common factor number is the GCF number.
So the greatest common factor 816,849,213 is 3.

Lets's calculate LCM of 584,254,494

2 584, 254, 494
292, 127, 247

∴ So the LCM of the given numbers is 2 x 292 x 127 x 247 = 18319496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18319496

Therefore, the GCF of Fractions 816/584,849/254,213/494 is 3/18319496

Least Common Multiple of 584,254,494 with GCF Formula

Least Common Multiple of 584,254,494 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 584,254,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,254,494) = 2

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

GCF(584,254,494) x common factors =2 x 2 = 4

LCM(584,254,494) = ( 584 × 254 × 494 ) / 4

LCM(584,254,494) = 73277984 / 4

LCM(584,254,494) = 18319496


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 816/584, 849/254, 213/494

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 816/584, 849/254, 213/494?

Answer: GCF of Numerators as per given numbers 816/584, 849/254, 213/494 is

GCF of Numerators i.e. for 816,849,213 is 3

LCM of denominators i.e. for 584,254,494 is 18319496.

Thus, GCF of Fractions is 3/18319496.Finally, GCF of Fractions for 816/584, 849/254, 213/494 is 3/18319496.