GCD of 972, 407, 65, 866 Calculator

Given Input numbers are 972, 407, 65, 866

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

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 65

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

1, 5, 13, 65

Divisors of 866

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

1, 2, 433, 866

Greatest Common Divisior

We found the divisors of 972, 407, 65, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 407, 65, 866 is 1.

Therefore, GCD of numbers 972, 407, 65, 866 is 1

Given Input Data is 972, 407, 65, 866

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

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 65 is 5 x 13

Prime Factorization of 866 is 2 x 433

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(972, 407) = 395604

GCD(972, 407) = ( 972 x 407 ) / 395604

GCD(972, 407) = 395604 / 395604

GCD(972, 407) = 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 866

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

LCM(1, 866) = 866

GCD(1, 866) = ( 1 x 866 ) / 866

GCD(1, 866) = 866 / 866

GCD(1, 866) = 1

GCD of 972, 407, 65, 866 is 1

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• GCD of 446, 578, 65, 497
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1. What is the GCD of 972, 407, 65, 866?

GCD of 972, 407, 65, 866 is 1

2. Where do I get the detailed procedure to find GCD of 972, 407, 65, 866?

You can find a detailed procedure to find GCD of 972, 407, 65, 866 on our page.

3. How to find GCD of 972, 407, 65, 866 on a calculator?

You can find the GCD of 972, 407, 65, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.