Greatest Common Factor of 819/2961, 885/6417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/2961, 885/6417

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 819/2961,885/6417

Given fractions are 819/2961,885/6417

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 819,885

Greatest Common Factor of Numerators i.e. GCF of 819,885 is 3 .

LCM of Denominators means LCM of 2961,6417 as per the given fractions.

LCM of 2961,6417 is 2111193 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,885

GCF of Fractions 819/2961,885/6417 is 3/2111193

3 819, 885
273, 295

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 819,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,885 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 819,885 . The biggest common factor number is the GCF number.
So the greatest common factor 819,885 is 3.

Lets's calculate LCM of 2961,6417

3 2961, 6417
3 987, 2139
329, 713

∴ So the LCM of the given numbers is 3 x 3 x 329 x 713 = 2111193

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2111193

Therefore, the GCF of Fractions 819/2961,885/6417 is 3/2111193

Least Common Multiple of 2961,6417 with GCF Formula

Least Common Multiple of 2961,6417 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 2961,6417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2961,6417) = 9

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

GCF(2961,6417) x common factors =9 x 1 = 9

LCM(2961,6417) = ( 2961 × 6417 ) / 9

LCM(2961,6417) = 19000737 / 9

LCM(2961,6417) = 2111193


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 819/2961, 885/6417

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 819/2961, 885/6417?

Answer: GCF of Numerators as per given numbers 819/2961, 885/6417 is

GCF of Numerators i.e. for 819,885 is 3

LCM of denominators i.e. for 2961,6417 is 2111193.

Thus, GCF of Fractions is 3/2111193.Finally, GCF of Fractions for 819/2961, 885/6417 is 3/2111193.