GCD of 203, 520, 36, 153 Calculator

Given Input numbers are 203, 520, 36, 153

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

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 203, 520, 36, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 520, 36, 153 is 1.

Therefore, GCD of numbers 203, 520, 36, 153 is 1

Given Input Data is 203, 520, 36, 153

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

Prime Factorization of 203 is 7 x 29

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 153 is 3 x 3 x 17

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(203, 520) = 105560

GCD(203, 520) = ( 203 x 520 ) / 105560

GCD(203, 520) = 105560 / 105560

GCD(203, 520) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 203, 520, 36, 153 is 1

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1. What is the GCD of 203, 520, 36, 153?

GCD of 203, 520, 36, 153 is 1

2. Where do I get the detailed procedure to find GCD of 203, 520, 36, 153?

You can find a detailed procedure to find GCD of 203, 520, 36, 153 on our page.

3. How to find GCD of 203, 520, 36, 153 on a calculator?

You can find the GCD of 203, 520, 36, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.