Greatest Common Factor of 3827/463, 3227/2669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3827/463, 3227/2669

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 3827/463,3227/2669

Given fractions are 3827/463,3227/2669

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 3827,3227

Greatest Common Factor of Numerators i.e. GCF of 3827,3227 is 1 .

LCM of Denominators means LCM of 463,2669 as per the given fractions.

LCM of 463,2669 is 1235747 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3827,3227

GCF of Fractions 3827/463,3227/2669 is 1/1235747

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

Greatest Common Factor of 3827,3227 By Matching Biggest Common Factor Method

Greatest Common Factor of 3827,3227 By Matching Biggest Common Factor Method

Factors of 3827

List of positive integer factors of 3827 that divides 3827 without a remainder.

1,43,89,3827

Factors of 3227

List of positive integer factors of 3227 that divides 3227 without a remainder.

1,7,461,3227

Greatest Common Factor

We found the factors 3827,3227 . The biggest common factor number is the GCF number.
So the greatest common factor 3827,3227 is 1.

Lets's calculate LCM of 463,2669

Given numbers has no common factors except 1. So, there LCM is their product i.e 1235747

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1235747

Therefore, the GCF of Fractions 3827/463,3227/2669 is 1/1235747

Least Common Multiple of 463,2669 with GCF Formula

Least Common Multiple of 463,2669 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 463,2669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,2669) = 1

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

GCF(463,2669) x common factors =1 x 1 = 1

LCM(463,2669) = ( 463 × 2669 ) / 1

LCM(463,2669) = 1235747 / 1

LCM(463,2669) = 1235747


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 3827/463, 3227/2669

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 3827/463, 3227/2669?

Answer: GCF of Numerators as per given numbers 3827/463, 3227/2669 is

GCF of Numerators i.e. for 3827,3227 is 1

LCM of denominators i.e. for 463,2669 is 1235747.

Thus, GCF of Fractions is 1/1235747.Finally, GCF of Fractions for 3827/463, 3227/2669 is 1/1235747.