GCD of 272, 866, 15, 643 Calculator

Given Input numbers are 272, 866, 15, 643

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

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

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 272, 866, 15, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 866, 15, 643 is 1.

Therefore, GCD of numbers 272, 866, 15, 643 is 1

Given Input Data is 272, 866, 15, 643

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 866 is 2 x 433

Prime Factorization of 15 is 3 x 5

Prime Factorization of 643 is 643

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(272, 866) = 117776

GCD(272, 866) = ( 272 x 866 ) / 117776

GCD(272, 866) = 235552 / 117776

GCD(272, 866) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 272, 866, 15, 643 is 1

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1. What is the GCD of 272, 866, 15, 643?

GCD of 272, 866, 15, 643 is 1

2. Where do I get the detailed procedure to find GCD of 272, 866, 15, 643?

You can find a detailed procedure to find GCD of 272, 866, 15, 643 on our page.

3. How to find GCD of 272, 866, 15, 643 on a calculator?

You can find the GCD of 272, 866, 15, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.