GCD of 113, 364, 396, 562 Calculator

Given Input numbers are 113, 364, 396, 562

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 113, 364, 396, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 364, 396, 562 is 1.

Therefore, GCD of numbers 113, 364, 396, 562 is 1

Given Input Data is 113, 364, 396, 562

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

Prime Factorization of 113 is 113

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 562 is 2 x 281

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(113, 364) = 41132

GCD(113, 364) = ( 113 x 364 ) / 41132

GCD(113, 364) = 41132 / 41132

GCD(113, 364) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 562

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

LCM(1, 562) = 562

GCD(1, 562) = ( 1 x 562 ) / 562

GCD(1, 562) = 562 / 562

GCD(1, 562) = 1

GCD of 113, 364, 396, 562 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 961, 547, 964
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• GCD of 840, 467, 207, 635
• GCD of 322, 507, 561, 481
• GCD of 765, 262, 884, 176

1. What is the GCD of 113, 364, 396, 562?

GCD of 113, 364, 396, 562 is 1

2. Where do I get the detailed procedure to find GCD of 113, 364, 396, 562?

You can find a detailed procedure to find GCD of 113, 364, 396, 562 on our page.

3. How to find GCD of 113, 364, 396, 562 on a calculator?

You can find the GCD of 113, 364, 396, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.