Greatest Common Factor of 6223/253, 1305/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6223/253, 1305/723

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 6223/253,1305/723

Given fractions are 6223/253,1305/723

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 6223,1305

Greatest Common Factor of Numerators i.e. GCF of 6223,1305 is 1 .

LCM of Denominators means LCM of 253,723 as per the given fractions.

LCM of 253,723 is 182919 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6223,1305

GCF of Fractions 6223/253,1305/723 is 1/182919

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

Greatest Common Factor of 6223,1305 By Matching Biggest Common Factor Method

Greatest Common Factor of 6223,1305 By Matching Biggest Common Factor Method

Factors of 6223

List of positive integer factors of 6223 that divides 6223 without a remainder.

1,7,49,127,889,6223

Factors of 1305

List of positive integer factors of 1305 that divides 1305 without a remainder.

1,3,5,9,15,29,45,87,145,261,435,1305

Greatest Common Factor

We found the factors 6223,1305 . The biggest common factor number is the GCF number.
So the greatest common factor 6223,1305 is 1.

Lets's calculate LCM of 253,723

Given numbers has no common factors except 1. So, there LCM is their product i.e 182919

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182919

Therefore, the GCF of Fractions 6223/253,1305/723 is 1/182919

Least Common Multiple of 253,723 with GCF Formula

Least Common Multiple of 253,723 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 253,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,723) = 1

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

GCF(253,723) x common factors =1 x 1 = 1

LCM(253,723) = ( 253 × 723 ) / 1

LCM(253,723) = 182919 / 1

LCM(253,723) = 182919


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 6223/253, 1305/723

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 6223/253, 1305/723?

Answer: GCF of Numerators as per given numbers 6223/253, 1305/723 is

GCF of Numerators i.e. for 6223,1305 is 1

LCM of denominators i.e. for 253,723 is 182919.

Thus, GCF of Fractions is 1/182919.Finally, GCF of Fractions for 6223/253, 1305/723 is 1/182919.