Greatest Common Factor of 7836/405, 4222/9087

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7836/405, 4222/9087

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 7836/405,4222/9087

Given fractions are 7836/405,4222/9087

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 7836,4222

Greatest Common Factor of Numerators i.e. GCF of 7836,4222 is 2 .

LCM of Denominators means LCM of 405,9087 as per the given fractions.

LCM of 405,9087 is 1226745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7836,4222

GCF of Fractions 7836/405,4222/9087 is 2/1226745

2 7836, 4222
3918, 2111

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

Greatest Common Factor of 7836,4222 By Matching Biggest Common Factor Method

Greatest Common Factor of 7836,4222 By Matching Biggest Common Factor Method

Factors of 7836

List of positive integer factors of 7836 that divides 7836 without a remainder.

1,2,3,4,6,12,653,1306,1959,2612,3918,7836

Factors of 4222

List of positive integer factors of 4222 that divides 4222 without a remainder.

1,2,2111,4222

Greatest Common Factor

We found the factors 7836,4222 . The biggest common factor number is the GCF number.
So the greatest common factor 7836,4222 is 2.

Lets's calculate LCM of 405,9087

3 405, 9087
135, 3029

∴ So the LCM of the given numbers is 3 x 135 x 3029 = 1226745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1226745

Therefore, the GCF of Fractions 7836/405,4222/9087 is 2/1226745

Least Common Multiple of 405,9087 with GCF Formula

Least Common Multiple of 405,9087 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 405,9087 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,9087) = 3

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

GCF(405,9087) x common factors =3 x 1 = 3

LCM(405,9087) = ( 405 × 9087 ) / 3

LCM(405,9087) = 3680235 / 3

LCM(405,9087) = 1226745


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 7836/405, 4222/9087

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 7836/405, 4222/9087?

Answer: GCF of Numerators as per given numbers 7836/405, 4222/9087 is

GCF of Numerators i.e. for 7836,4222 is 2

LCM of denominators i.e. for 405,9087 is 1226745.

Thus, GCF of Fractions is 2/1226745.Finally, GCF of Fractions for 7836/405, 4222/9087 is 2/1226745.