Greatest Common Factor of 1036/405, 2120/3873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1036/405, 2120/3873

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 1036/405,2120/3873

Given fractions are 1036/405,2120/3873

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 1036,2120

Greatest Common Factor of Numerators i.e. GCF of 1036,2120 is 4 .

LCM of Denominators means LCM of 405,3873 as per the given fractions.

LCM of 405,3873 is 522855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1036,2120

GCF of Fractions 1036/405,2120/3873 is 4/522855

2 1036, 2120
2 518, 1060
259, 530

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1036,2120 By Matching Biggest Common Factor Method

Greatest Common Factor of 1036,2120 By Matching Biggest Common Factor Method

Factors of 1036

List of positive integer factors of 1036 that divides 1036 without a remainder.

1,2,4,7,14,28,37,74,148,259,518,1036

Factors of 2120

List of positive integer factors of 2120 that divides 2120 without a remainder.

1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120

Greatest Common Factor

We found the factors 1036,2120 . The biggest common factor number is the GCF number.
So the greatest common factor 1036,2120 is 4.

Lets's calculate LCM of 405,3873

3 405, 3873
135, 1291

∴ So the LCM of the given numbers is 3 x 135 x 1291 = 522855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/522855

Therefore, the GCF of Fractions 1036/405,2120/3873 is 4/522855

Least Common Multiple of 405,3873 with GCF Formula

Least Common Multiple of 405,3873 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 405,3873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,3873) = 3

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

GCF(405,3873) x common factors =3 x 1 = 3

LCM(405,3873) = ( 405 × 3873 ) / 3

LCM(405,3873) = 1568565 / 3

LCM(405,3873) = 522855


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 1036/405, 2120/3873

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 1036/405, 2120/3873?

Answer: GCF of Numerators as per given numbers 1036/405, 2120/3873 is

GCF of Numerators i.e. for 1036,2120 is 4

LCM of denominators i.e. for 405,3873 is 522855.

Thus, GCF of Fractions is 4/522855.Finally, GCF of Fractions for 1036/405, 2120/3873 is 4/522855.