Greatest Common Factor of 1086/365, 4204/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1086/365, 4204/723

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 1086/365,4204/723

Given fractions are 1086/365,4204/723

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 1086,4204

Greatest Common Factor of Numerators i.e. GCF of 1086,4204 is 2 .

LCM of Denominators means LCM of 365,723 as per the given fractions.

LCM of 365,723 is 263895 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1086,4204

GCF of Fractions 1086/365,4204/723 is 2/263895

2 1086, 4204
543, 2102

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

Greatest Common Factor of 1086,4204 By Matching Biggest Common Factor Method

Greatest Common Factor of 1086,4204 By Matching Biggest Common Factor Method

Factors of 1086

List of positive integer factors of 1086 that divides 1086 without a remainder.

1,2,3,6,181,362,543,1086

Factors of 4204

List of positive integer factors of 4204 that divides 4204 without a remainder.

1,2,4,1051,2102,4204

Greatest Common Factor

We found the factors 1086,4204 . The biggest common factor number is the GCF number.
So the greatest common factor 1086,4204 is 2.

Lets's calculate LCM of 365,723

Given numbers has no common factors except 1. So, there LCM is their product i.e 263895

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/263895

Therefore, the GCF of Fractions 1086/365,4204/723 is 2/263895

Least Common Multiple of 365,723 with GCF Formula

Least Common Multiple of 365,723 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 365,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,723) = 1

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

GCF(365,723) x common factors =1 x 1 = 1

LCM(365,723) = ( 365 × 723 ) / 1

LCM(365,723) = 263895 / 1

LCM(365,723) = 263895


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 1086/365, 4204/723

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 1086/365, 4204/723?

Answer: GCF of Numerators as per given numbers 1086/365, 4204/723 is

GCF of Numerators i.e. for 1086,4204 is 2

LCM of denominators i.e. for 365,723 is 263895.

Thus, GCF of Fractions is 2/263895.Finally, GCF of Fractions for 1086/365, 4204/723 is 2/263895.