Greatest Common Factor of 1104/46, 1642/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1104/46, 1642/323

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 1104/46,1642/323

Given fractions are 1104/46,1642/323

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 1104,1642

Greatest Common Factor of Numerators i.e. GCF of 1104,1642 is 2 .

LCM of Denominators means LCM of 46,323 as per the given fractions.

LCM of 46,323 is 14858 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1104,1642

GCF of Fractions 1104/46,1642/323 is 2/14858

2 1104, 1642
552, 821

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1104,1642 By Matching Biggest Common Factor Method

Greatest Common Factor of 1104,1642 By Matching Biggest Common Factor Method

Factors of 1104

List of positive integer factors of 1104 that divides 1104 without a remainder.

1,2,3,4,6,8,12,16,23,24,46,48,69,92,138,184,276,368,552,1104

Factors of 1642

List of positive integer factors of 1642 that divides 1642 without a remainder.

1,2,821,1642

Greatest Common Factor

We found the factors 1104,1642 . The biggest common factor number is the GCF number.
So the greatest common factor 1104,1642 is 2.

Lets's calculate LCM of 46,323

Given numbers has no common factors except 1. So, there LCM is their product i.e 14858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14858

Therefore, the GCF of Fractions 1104/46,1642/323 is 2/14858

Least Common Multiple of 46,323 with GCF Formula

Least Common Multiple of 46,323 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 46,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,323) = 1

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

GCF(46,323) x common factors =1 x 1 = 1

LCM(46,323) = ( 46 × 323 ) / 1

LCM(46,323) = 14858 / 1

LCM(46,323) = 14858


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 1104/46, 1642/323

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 1104/46, 1642/323?

Answer: GCF of Numerators as per given numbers 1104/46, 1642/323 is

GCF of Numerators i.e. for 1104,1642 is 2

LCM of denominators i.e. for 46,323 is 14858.

Thus, GCF of Fractions is 2/14858.Finally, GCF of Fractions for 1104/46, 1642/323 is 2/14858.