Greatest Common Factor of 6243/872, 3665/9430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6243/872, 3665/9430

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 6243/872,3665/9430

Given fractions are 6243/872,3665/9430

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 6243,3665

Greatest Common Factor of Numerators i.e. GCF of 6243,3665 is 1 .

LCM of Denominators means LCM of 872,9430 as per the given fractions.

LCM of 872,9430 is 4111480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6243,3665

GCF of Fractions 6243/872,3665/9430 is 1/4111480

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

Greatest Common Factor of 6243,3665 By Matching Biggest Common Factor Method

Greatest Common Factor of 6243,3665 By Matching Biggest Common Factor Method

Factors of 6243

List of positive integer factors of 6243 that divides 6243 without a remainder.

1,3,2081,6243

Factors of 3665

List of positive integer factors of 3665 that divides 3665 without a remainder.

1,5,733,3665

Greatest Common Factor

We found the factors 6243,3665 . The biggest common factor number is the GCF number.
So the greatest common factor 6243,3665 is 1.

Lets's calculate LCM of 872,9430

2 872, 9430
436, 4715

∴ So the LCM of the given numbers is 2 x 436 x 4715 = 4111480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4111480

Therefore, the GCF of Fractions 6243/872,3665/9430 is 1/4111480

Least Common Multiple of 872,9430 with GCF Formula

Least Common Multiple of 872,9430 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 872,9430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,9430) = 2

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

GCF(872,9430) x common factors =2 x 1 = 2

LCM(872,9430) = ( 872 × 9430 ) / 2

LCM(872,9430) = 8222960 / 2

LCM(872,9430) = 4111480


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 6243/872, 3665/9430

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 6243/872, 3665/9430?

Answer: GCF of Numerators as per given numbers 6243/872, 3665/9430 is

GCF of Numerators i.e. for 6243,3665 is 1

LCM of denominators i.e. for 872,9430 is 4111480.

Thus, GCF of Fractions is 1/4111480.Finally, GCF of Fractions for 6243/872, 3665/9430 is 1/4111480.