Greatest Common Factor of 1821/405, 1827/1310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1821/405, 1827/1310

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 1821/405,1827/1310

Given fractions are 1821/405,1827/1310

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 1821,1827

Greatest Common Factor of Numerators i.e. GCF of 1821,1827 is 3 .

LCM of Denominators means LCM of 405,1310 as per the given fractions.

LCM of 405,1310 is 106110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1821,1827

GCF of Fractions 1821/405,1827/1310 is 3/106110

3 1821, 1827
607, 609

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

Greatest Common Factor of 1821,1827 By Matching Biggest Common Factor Method

Greatest Common Factor of 1821,1827 By Matching Biggest Common Factor Method

Factors of 1821

List of positive integer factors of 1821 that divides 1821 without a remainder.

1,3,607,1821

Factors of 1827

List of positive integer factors of 1827 that divides 1827 without a remainder.

1,3,7,9,21,29,63,87,203,261,609,1827

Greatest Common Factor

We found the factors 1821,1827 . The biggest common factor number is the GCF number.
So the greatest common factor 1821,1827 is 3.

Lets's calculate LCM of 405,1310

5 405, 1310
81, 262

∴ So the LCM of the given numbers is 5 x 81 x 262 = 106110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/106110

Therefore, the GCF of Fractions 1821/405,1827/1310 is 3/106110

Least Common Multiple of 405,1310 with GCF Formula

Least Common Multiple of 405,1310 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 405,1310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,1310) = 5

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

GCF(405,1310) x common factors =5 x 1 = 5

LCM(405,1310) = ( 405 × 1310 ) / 5

LCM(405,1310) = 530550 / 5

LCM(405,1310) = 106110


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 1821/405, 1827/1310

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 1821/405, 1827/1310?

Answer: GCF of Numerators as per given numbers 1821/405, 1827/1310 is

GCF of Numerators i.e. for 1821,1827 is 3

LCM of denominators i.e. for 405,1310 is 106110.

Thus, GCF of Fractions is 3/106110.Finally, GCF of Fractions for 1821/405, 1827/1310 is 3/106110.