Greatest Common Factor of 2800/338, 4662/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2800/338, 4662/819

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 2800/338,4662/819

Given fractions are 2800/338,4662/819

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 2800,4662

Greatest Common Factor of Numerators i.e. GCF of 2800,4662 is 14 .

LCM of Denominators means LCM of 338,819 as per the given fractions.

LCM of 338,819 is 21294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2800,4662

GCF of Fractions 2800/338,4662/819 is 14/21294

2 2800, 4662
7 1400, 2331
200, 333

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 2800,4662 By Matching Biggest Common Factor Method

Greatest Common Factor of 2800,4662 By Matching Biggest Common Factor Method

Factors of 2800

List of positive integer factors of 2800 that divides 2800 without a remainder.

1,2,4,5,7,8,10,14,16,20,25,28,35,40,50,56,70,80,100,112,140,175,200,280,350,400,560,700,1400,2800

Factors of 4662

List of positive integer factors of 4662 that divides 4662 without a remainder.

1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662

Greatest Common Factor

We found the factors 2800,4662 . The biggest common factor number is the GCF number.
So the greatest common factor 2800,4662 is 14.

Lets's calculate LCM of 338,819

13 338, 819
26, 63

∴ So the LCM of the given numbers is 13 x 26 x 63 = 21294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/21294

Therefore, the GCF of Fractions 2800/338,4662/819 is 14/21294

Least Common Multiple of 338,819 with GCF Formula

Least Common Multiple of 338,819 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 338,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,819) = 13

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

GCF(338,819) x common factors =13 x 1 = 13

LCM(338,819) = ( 338 × 819 ) / 13

LCM(338,819) = 276822 / 13

LCM(338,819) = 21294


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 2800/338, 4662/819

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 2800/338, 4662/819?

Answer: GCF of Numerators as per given numbers 2800/338, 4662/819 is

GCF of Numerators i.e. for 2800,4662 is 14

LCM of denominators i.e. for 338,819 is 21294.

Thus, GCF of Fractions is 14/21294.Finally, GCF of Fractions for 2800/338, 4662/819 is 14/21294.