GCD of 364, 693, 56, 790 Calculator

Given Input numbers are 364, 693, 56, 790

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 364, 693, 56, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 693, 56, 790 is 1.

Therefore, GCD of numbers 364, 693, 56, 790 is 1

Given Input Data is 364, 693, 56, 790

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 790 is 2 x 5 x 79

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(364, 693) = 36036

GCD(364, 693) = ( 364 x 693 ) / 36036

GCD(364, 693) = 252252 / 36036

GCD(364, 693) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 56

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

LCM(7, 56) = 56

GCD(7, 56) = ( 7 x 56 ) / 56

GCD(7, 56) = 392 / 56

GCD(7, 56) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 790

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

LCM(7, 790) = 5530

GCD(7, 790) = ( 7 x 790 ) / 5530

GCD(7, 790) = 5530 / 5530

GCD(7, 790) = 1

GCD of 364, 693, 56, 790 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 493, 16, 449
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• GCD of 691, 467, 20, 693
• GCD of 359, 743, 61, 977

1. What is the GCD of 364, 693, 56, 790?

GCD of 364, 693, 56, 790 is 1

2. Where do I get the detailed procedure to find GCD of 364, 693, 56, 790?

You can find a detailed procedure to find GCD of 364, 693, 56, 790 on our page.

3. How to find GCD of 364, 693, 56, 790 on a calculator?

You can find the GCD of 364, 693, 56, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.