Greatest Common Factor of 1323/817, 3654/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1323/817, 3654/344

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 1323/817,3654/344

Given fractions are 1323/817,3654/344

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 1323,3654

Greatest Common Factor of Numerators i.e. GCF of 1323,3654 is 63 .

LCM of Denominators means LCM of 817,344 as per the given fractions.

LCM of 817,344 is 6536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1323,3654

GCF of Fractions 1323/817,3654/344 is 63/6536

3 1323, 3654
3 441, 1218
7 147, 406
21, 58

∴ So the GCF of the given numbers is 3 x 3 x 7 = 63

Greatest Common Factor of 1323,3654 By Matching Biggest Common Factor Method

Greatest Common Factor of 1323,3654 By Matching Biggest Common Factor Method

Factors of 1323

List of positive integer factors of 1323 that divides 1323 without a remainder.

1,3,7,9,21,27,49,63,147,189,441,1323

Factors of 3654

List of positive integer factors of 3654 that divides 3654 without a remainder.

1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654

Greatest Common Factor

We found the factors 1323,3654 . The biggest common factor number is the GCF number.
So the greatest common factor 1323,3654 is 63.

Lets's calculate LCM of 817,344

43 817, 344
19, 8

∴ So the LCM of the given numbers is 43 x 19 x 8 = 6536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/6536

Therefore, the GCF of Fractions 1323/817,3654/344 is 63/6536

Least Common Multiple of 817,344 with GCF Formula

Least Common Multiple of 817,344 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 817,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,344) = 43

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

GCF(817,344) x common factors =43 x 1 = 43

LCM(817,344) = ( 817 × 344 ) / 43

LCM(817,344) = 281048 / 43

LCM(817,344) = 6536


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 1323/817, 3654/344

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 1323/817, 3654/344?

Answer: GCF of Numerators as per given numbers 1323/817, 3654/344 is

GCF of Numerators i.e. for 1323,3654 is 63

LCM of denominators i.e. for 817,344 is 6536.

Thus, GCF of Fractions is 63/6536.Finally, GCF of Fractions for 1323/817, 3654/344 is 63/6536.