Greatest Common Factor of 17/23, 544/16, 641/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/23, 544/16, 641/249

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 17/23,544/16,641/249

Given fractions are 17/23,544/16,641/249

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 17,544,641

Greatest Common Factor of Numerators i.e. GCF of 17,544,641 is 1 .

LCM of Denominators means LCM of 23,16,249 as per the given fractions.

LCM of 23,16,249 is 91632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,544,641

GCF of Fractions 17/23,544/16,641/249 is 1/91632

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 17,544,641 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,544,641 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Greatest Common Factor

We found the factors 17,544,641 . The biggest common factor number is the GCF number.
So the greatest common factor 17,544,641 is 1.

Lets's calculate LCM of 23,16,249

Given numbers has no common factors except 1. So, there LCM is their product i.e 91632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91632

Therefore, the GCF of Fractions 17/23,544/16,641/249 is 1/91632

Least Common Multiple of 23,16,249 with GCF Formula

Least Common Multiple of 23,16,249 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 23,16,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,16,249) = 1

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

GCF(23,16,249) x common factors =1 x 1 = 1

LCM(23,16,249) = ( 23 × 16 × 249 ) / 1

LCM(23,16,249) = 91632 / 1

LCM(23,16,249) = 91632


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 17/23, 544/16, 641/249

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 17/23, 544/16, 641/249?

Answer: GCF of Numerators as per given numbers 17/23, 544/16, 641/249 is

GCF of Numerators i.e. for 17,544,641 is 1

LCM of denominators i.e. for 23,16,249 is 91632.

Thus, GCF of Fractions is 1/91632.Finally, GCF of Fractions for 17/23, 544/16, 641/249 is 1/91632.