GCD of 155, 180, 940, 203 Calculator

Given Input numbers are 155, 180, 940, 203

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

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 203

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

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 155, 180, 940, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 155, 180, 940, 203 is 1.

Therefore, GCD of numbers 155, 180, 940, 203 is 1

Given Input Data is 155, 180, 940, 203

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

Prime Factorization of 155 is 5 x 31

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 203 is 7 x 29

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(155, 180) = 5580

GCD(155, 180) = ( 155 x 180 ) / 5580

GCD(155, 180) = 27900 / 5580

GCD(155, 180) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 940

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

LCM(5, 940) = 940

GCD(5, 940) = ( 5 x 940 ) / 940

GCD(5, 940) = 4700 / 940

GCD(5, 940) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 203

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

LCM(5, 203) = 1015

GCD(5, 203) = ( 5 x 203 ) / 1015

GCD(5, 203) = 1015 / 1015

GCD(5, 203) = 1

GCD of 155, 180, 940, 203 is 1

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1. What is the GCD of 155, 180, 940, 203?

GCD of 155, 180, 940, 203 is 1

2. Where do I get the detailed procedure to find GCD of 155, 180, 940, 203?

You can find a detailed procedure to find GCD of 155, 180, 940, 203 on our page.

3. How to find GCD of 155, 180, 940, 203 on a calculator?

You can find the GCD of 155, 180, 940, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.