Greatest Common Factor of 1729/646, 1105/3447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1729/646, 1105/3447

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 1729/646,1105/3447

Given fractions are 1729/646,1105/3447

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 1729,1105

Greatest Common Factor of Numerators i.e. GCF of 1729,1105 is 13 .

LCM of Denominators means LCM of 646,3447 as per the given fractions.

LCM of 646,3447 is 2226762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1729,1105

GCF of Fractions 1729/646,1105/3447 is 13/2226762

13 1729, 1105
133, 85

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1729,1105 By Matching Biggest Common Factor Method

Greatest Common Factor of 1729,1105 By Matching Biggest Common Factor Method

Factors of 1729

List of positive integer factors of 1729 that divides 1729 without a remainder.

1,7,13,19,91,133,247,1729

Factors of 1105

List of positive integer factors of 1105 that divides 1105 without a remainder.

1,5,13,17,65,85,221,1105

Greatest Common Factor

We found the factors 1729,1105 . The biggest common factor number is the GCF number.
So the greatest common factor 1729,1105 is 13.

Lets's calculate LCM of 646,3447

Given numbers has no common factors except 1. So, there LCM is their product i.e 2226762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2226762

Therefore, the GCF of Fractions 1729/646,1105/3447 is 13/2226762

Least Common Multiple of 646,3447 with GCF Formula

Least Common Multiple of 646,3447 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 646,3447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,3447) = 1

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

GCF(646,3447) x common factors =1 x 1 = 1

LCM(646,3447) = ( 646 × 3447 ) / 1

LCM(646,3447) = 2226762 / 1

LCM(646,3447) = 2226762


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 1729/646, 1105/3447

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 1729/646, 1105/3447?

Answer: GCF of Numerators as per given numbers 1729/646, 1105/3447 is

GCF of Numerators i.e. for 1729,1105 is 13

LCM of denominators i.e. for 646,3447 is 2226762.

Thus, GCF of Fractions is 13/2226762.Finally, GCF of Fractions for 1729/646, 1105/3447 is 13/2226762.