GCD of 360, 693, 81, 976 Calculator

Given Input numbers are 360, 693, 81, 976

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Greatest Common Divisior

We found the divisors of 360, 693, 81, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 693, 81, 976 is 1.

Therefore, GCD of numbers 360, 693, 81, 976 is 1

Given Input Data is 360, 693, 81, 976

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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(360, 693) = 27720

GCD(360, 693) = ( 360 x 693 ) / 27720

GCD(360, 693) = 249480 / 27720

GCD(360, 693) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 81

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

LCM(9, 81) = 81

GCD(9, 81) = ( 9 x 81 ) / 81

GCD(9, 81) = 729 / 81

GCD(9, 81) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 976

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

LCM(9, 976) = 8784

GCD(9, 976) = ( 9 x 976 ) / 8784

GCD(9, 976) = 8784 / 8784

GCD(9, 976) = 1

GCD of 360, 693, 81, 976 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 608, 61, 953
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• GCD of 262, 314, 78, 652
• GCD of 703, 416, 93, 618

1. What is the GCD of 360, 693, 81, 976?

GCD of 360, 693, 81, 976 is 1

2. Where do I get the detailed procedure to find GCD of 360, 693, 81, 976?

You can find a detailed procedure to find GCD of 360, 693, 81, 976 on our page.

3. How to find GCD of 360, 693, 81, 976 on a calculator?

You can find the GCD of 360, 693, 81, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.