GCD of 272, 990, 64, 687 Calculator

Given Input numbers are 272, 990, 64, 687

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 272, 990, 64, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 990, 64, 687 is 1.

Therefore, GCD of numbers 272, 990, 64, 687 is 1

Given Input Data is 272, 990, 64, 687

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 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 687 is 3 x 229

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, 990) = 134640

GCD(272, 990) = ( 272 x 990 ) / 134640

GCD(272, 990) = 269280 / 134640

GCD(272, 990) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 687

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

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

GCD(2, 687) = 1374 / 1374

GCD(2, 687) = 1

GCD of 272, 990, 64, 687 is 1

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1. What is the GCD of 272, 990, 64, 687?

GCD of 272, 990, 64, 687 is 1

2. Where do I get the detailed procedure to find GCD of 272, 990, 64, 687?

You can find a detailed procedure to find GCD of 272, 990, 64, 687 on our page.

3. How to find GCD of 272, 990, 64, 687 on a calculator?

You can find the GCD of 272, 990, 64, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.