GCD of 867, 583, 65, 972 Calculator

Given Input numbers are 867, 583, 65, 972

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 867, 583, 65, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 583, 65, 972 is 1.

Therefore, GCD of numbers 867, 583, 65, 972 is 1

Given Input Data is 867, 583, 65, 972

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 583 is 11 x 53

Prime Factorization of 65 is 5 x 13

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(867, 583) = 505461

GCD(867, 583) = ( 867 x 583 ) / 505461

GCD(867, 583) = 505461 / 505461

GCD(867, 583) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 867, 583, 65, 972 is 1

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1. What is the GCD of 867, 583, 65, 972?

GCD of 867, 583, 65, 972 is 1

2. Where do I get the detailed procedure to find GCD of 867, 583, 65, 972?

You can find a detailed procedure to find GCD of 867, 583, 65, 972 on our page.

3. How to find GCD of 867, 583, 65, 972 on a calculator?

You can find the GCD of 867, 583, 65, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.