Greatest Common Factor of 8086/420, 9093/3627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8086/420, 9093/3627

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 8086/420,9093/3627

Given fractions are 8086/420,9093/3627

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 8086,9093

Greatest Common Factor of Numerators i.e. GCF of 8086,9093 is 1 .

LCM of Denominators means LCM of 420,3627 as per the given fractions.

LCM of 420,3627 is 507780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8086,9093

GCF of Fractions 8086/420,9093/3627 is 1/507780

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8086,9093 By Matching Biggest Common Factor Method

Greatest Common Factor of 8086,9093 By Matching Biggest Common Factor Method

Factors of 8086

List of positive integer factors of 8086 that divides 8086 without a remainder.

1,2,13,26,311,622,4043,8086

Factors of 9093

List of positive integer factors of 9093 that divides 9093 without a remainder.

1,3,7,21,433,1299,3031,9093

Greatest Common Factor

We found the factors 8086,9093 . The biggest common factor number is the GCF number.
So the greatest common factor 8086,9093 is 1.

Lets's calculate LCM of 420,3627

3 420, 3627
140, 1209

∴ So the LCM of the given numbers is 3 x 140 x 1209 = 507780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/507780

Therefore, the GCF of Fractions 8086/420,9093/3627 is 1/507780

Least Common Multiple of 420,3627 with GCF Formula

Least Common Multiple of 420,3627 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 420,3627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,3627) = 3

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

GCF(420,3627) x common factors =3 x 1 = 3

LCM(420,3627) = ( 420 × 3627 ) / 3

LCM(420,3627) = 1523340 / 3

LCM(420,3627) = 507780


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 8086/420, 9093/3627

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 8086/420, 9093/3627?

Answer: GCF of Numerators as per given numbers 8086/420, 9093/3627 is

GCF of Numerators i.e. for 8086,9093 is 1

LCM of denominators i.e. for 420,3627 is 507780.

Thus, GCF of Fractions is 1/507780.Finally, GCF of Fractions for 8086/420, 9093/3627 is 1/507780.