Greatest Common Factor of 1811/821, 3823/7905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1811/821, 3823/7905

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 1811/821,3823/7905

Given fractions are 1811/821,3823/7905

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 1811,3823

Greatest Common Factor of Numerators i.e. GCF of 1811,3823 is 1 .

LCM of Denominators means LCM of 821,7905 as per the given fractions.

LCM of 821,7905 is 6490005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1811,3823

GCF of Fractions 1811/821,3823/7905 is 1/6490005

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

Greatest Common Factor of 1811,3823 By Matching Biggest Common Factor Method

Greatest Common Factor of 1811,3823 By Matching Biggest Common Factor Method

Factors of 1811

List of positive integer factors of 1811 that divides 1811 without a remainder.

1,1811

Factors of 3823

List of positive integer factors of 3823 that divides 3823 without a remainder.

1,3823

Greatest Common Factor

We found the factors 1811,3823 . The biggest common factor number is the GCF number.
So the greatest common factor 1811,3823 is 1.

Lets's calculate LCM of 821,7905

Given numbers has no common factors except 1. So, there LCM is their product i.e 6490005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6490005

Therefore, the GCF of Fractions 1811/821,3823/7905 is 1/6490005

Least Common Multiple of 821,7905 with GCF Formula

Least Common Multiple of 821,7905 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 821,7905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,7905) = 1

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

GCF(821,7905) x common factors =1 x 1 = 1

LCM(821,7905) = ( 821 × 7905 ) / 1

LCM(821,7905) = 6490005 / 1

LCM(821,7905) = 6490005


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 1811/821, 3823/7905

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 1811/821, 3823/7905?

Answer: GCF of Numerators as per given numbers 1811/821, 3823/7905 is

GCF of Numerators i.e. for 1811,3823 is 1

LCM of denominators i.e. for 821,7905 is 6490005.

Thus, GCF of Fractions is 1/6490005.Finally, GCF of Fractions for 1811/821, 3823/7905 is 1/6490005.