Greatest Common Factor of 3402/460, 5823/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3402/460, 5823/909

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 3402/460,5823/909

Given fractions are 3402/460,5823/909

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 3402,5823

Greatest Common Factor of Numerators i.e. GCF of 3402,5823 is 9 .

LCM of Denominators means LCM of 460,909 as per the given fractions.

LCM of 460,909 is 418140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3402,5823

GCF of Fractions 3402/460,5823/909 is 9/418140

3 3402, 5823
3 1134, 1941
378, 647

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 3402,5823 By Matching Biggest Common Factor Method

Greatest Common Factor of 3402,5823 By Matching Biggest Common Factor Method

Factors of 3402

List of positive integer factors of 3402 that divides 3402 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,243,378,486,567,1134,1701,3402

Factors of 5823

List of positive integer factors of 5823 that divides 5823 without a remainder.

1,3,9,647,1941,5823

Greatest Common Factor

We found the factors 3402,5823 . The biggest common factor number is the GCF number.
So the greatest common factor 3402,5823 is 9.

Lets's calculate LCM of 460,909

Given numbers has no common factors except 1. So, there LCM is their product i.e 418140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/418140

Therefore, the GCF of Fractions 3402/460,5823/909 is 9/418140

Least Common Multiple of 460,909 with GCF Formula

Least Common Multiple of 460,909 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 460,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,909) = 1

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

GCF(460,909) x common factors =1 x 1 = 1

LCM(460,909) = ( 460 × 909 ) / 1

LCM(460,909) = 418140 / 1

LCM(460,909) = 418140


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 3402/460, 5823/909

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 3402/460, 5823/909?

Answer: GCF of Numerators as per given numbers 3402/460, 5823/909 is

GCF of Numerators i.e. for 3402,5823 is 9

LCM of denominators i.e. for 460,909 is 418140.

Thus, GCF of Fractions is 9/418140.Finally, GCF of Fractions for 3402/460, 5823/909 is 9/418140.