Greatest Common Factor of 6369/235, 4730/2643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6369/235, 4730/2643

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 6369/235,4730/2643

Given fractions are 6369/235,4730/2643

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 6369,4730

Greatest Common Factor of Numerators i.e. GCF of 6369,4730 is 11 .

LCM of Denominators means LCM of 235,2643 as per the given fractions.

LCM of 235,2643 is 621105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6369,4730

GCF of Fractions 6369/235,4730/2643 is 11/621105

11 6369, 4730
579, 430

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 6369,4730 By Matching Biggest Common Factor Method

Greatest Common Factor of 6369,4730 By Matching Biggest Common Factor Method

Factors of 6369

List of positive integer factors of 6369 that divides 6369 without a remainder.

1,3,11,33,193,579,2123,6369

Factors of 4730

List of positive integer factors of 4730 that divides 4730 without a remainder.

1,2,5,10,11,22,43,55,86,110,215,430,473,946,2365,4730

Greatest Common Factor

We found the factors 6369,4730 . The biggest common factor number is the GCF number.
So the greatest common factor 6369,4730 is 11.

Lets's calculate LCM of 235,2643

Given numbers has no common factors except 1. So, there LCM is their product i.e 621105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/621105

Therefore, the GCF of Fractions 6369/235,4730/2643 is 11/621105

Least Common Multiple of 235,2643 with GCF Formula

Least Common Multiple of 235,2643 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 235,2643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,2643) = 1

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

GCF(235,2643) x common factors =1 x 1 = 1

LCM(235,2643) = ( 235 × 2643 ) / 1

LCM(235,2643) = 621105 / 1

LCM(235,2643) = 621105


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 6369/235, 4730/2643

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 6369/235, 4730/2643?

Answer: GCF of Numerators as per given numbers 6369/235, 4730/2643 is

GCF of Numerators i.e. for 6369,4730 is 11

LCM of denominators i.e. for 235,2643 is 621105.

Thus, GCF of Fractions is 11/621105.Finally, GCF of Fractions for 6369/235, 4730/2643 is 11/621105.