GCD of 364, 100, 52, 383 Calculator

Given Input numbers are 364, 100, 52, 383

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 364, 100, 52, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 100, 52, 383 is 1.

Therefore, GCD of numbers 364, 100, 52, 383 is 1

Given Input Data is 364, 100, 52, 383

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 100 is 2 x 2 x 5 x 5

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 383 is 383

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, 100) = 9100

GCD(364, 100) = ( 364 x 100 ) / 9100

GCD(364, 100) = 36400 / 9100

GCD(364, 100) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 383

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

LCM(4, 383) = 1532

GCD(4, 383) = ( 4 x 383 ) / 1532

GCD(4, 383) = 1532 / 1532

GCD(4, 383) = 1

GCD of 364, 100, 52, 383 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 162, 80, 322
• GCD of 522, 200, 94, 588
• GCD of 230, 429, 88, 178
• GCD of 776, 121, 26, 506
• GCD of 189, 851, 71, 497

1. What is the GCD of 364, 100, 52, 383?

GCD of 364, 100, 52, 383 is 1

2. Where do I get the detailed procedure to find GCD of 364, 100, 52, 383?

You can find a detailed procedure to find GCD of 364, 100, 52, 383 on our page.

3. How to find GCD of 364, 100, 52, 383 on a calculator?

You can find the GCD of 364, 100, 52, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.