Greatest Common Factor of 380/21, 466/54, 834/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 380/21, 466/54, 834/822

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 380/21,466/54,834/822

Given fractions are 380/21,466/54,834/822

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 380,466,834

Greatest Common Factor of Numerators i.e. GCF of 380,466,834 is 2 .

LCM of Denominators means LCM of 21,54,822 as per the given fractions.

LCM of 21,54,822 is 51786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 380,466,834

GCF of Fractions 380/21,466/54,834/822 is 2/51786

2 380, 466, 834
190, 233, 417

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

Greatest Common Factor of 380,466,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,466,834 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 380,466,834 . The biggest common factor number is the GCF number.
So the greatest common factor 380,466,834 is 2.

Lets's calculate LCM of 21,54,822

2 21, 54, 822
3 21, 27, 411
7, 9, 137

∴ So the LCM of the given numbers is 2 x 3 x 7 x 9 x 137 = 51786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51786

Therefore, the GCF of Fractions 380/21,466/54,834/822 is 2/51786

Least Common Multiple of 21,54,822 with GCF Formula

Least Common Multiple of 21,54,822 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 21,54,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,54,822) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(21,54,822) x common factors =3 x 6 = 18

LCM(21,54,822) = ( 21 × 54 × 822 ) / 18

LCM(21,54,822) = 932148 / 18

LCM(21,54,822) = 51786


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 380/21, 466/54, 834/822

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 380/21, 466/54, 834/822?

Answer: GCF of Numerators as per given numbers 380/21, 466/54, 834/822 is

GCF of Numerators i.e. for 380,466,834 is 2

LCM of denominators i.e. for 21,54,822 is 51786.

Thus, GCF of Fractions is 2/51786.Finally, GCF of Fractions for 380/21, 466/54, 834/822 is 2/51786.