GCD of 57, 200, 363, 653 Calculator

Given Input numbers are 57, 200, 363, 653

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 57, 200, 363, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 200, 363, 653 is 1.

Therefore, GCD of numbers 57, 200, 363, 653 is 1

Given Input Data is 57, 200, 363, 653

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 653 is 653

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(57, 200) = 11400

GCD(57, 200) = ( 57 x 200 ) / 11400

GCD(57, 200) = 11400 / 11400

GCD(57, 200) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 57, 200, 363, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 205, 728, 247
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• GCD of 94, 983, 462, 631

1. What is the GCD of 57, 200, 363, 653?

GCD of 57, 200, 363, 653 is 1

2. Where do I get the detailed procedure to find GCD of 57, 200, 363, 653?

You can find a detailed procedure to find GCD of 57, 200, 363, 653 on our page.

3. How to find GCD of 57, 200, 363, 653 on a calculator?

You can find the GCD of 57, 200, 363, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.