GCD of 155, 315, 403, 159 Calculator

Given Input numbers are 155, 315, 403, 159

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 155, 315, 403, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 155, 315, 403, 159 is 1.

Therefore, GCD of numbers 155, 315, 403, 159 is 1

Given Input Data is 155, 315, 403, 159

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

Prime Factorization of 155 is 5 x 31

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 403 is 13 x 31

Prime Factorization of 159 is 3 x 53

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, 315) = 9765

GCD(155, 315) = ( 155 x 315 ) / 9765

GCD(155, 315) = 48825 / 9765

GCD(155, 315) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 403

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

LCM(5, 403) = 2015

GCD(5, 403) = ( 5 x 403 ) / 2015

GCD(5, 403) = 2015 / 2015

GCD(5, 403) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 155, 315, 403, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 343, 921, 945
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• GCD of 823, 230, 588, 863

1. What is the GCD of 155, 315, 403, 159?

GCD of 155, 315, 403, 159 is 1

2. Where do I get the detailed procedure to find GCD of 155, 315, 403, 159?

You can find a detailed procedure to find GCD of 155, 315, 403, 159 on our page.

3. How to find GCD of 155, 315, 403, 159 on a calculator?

You can find the GCD of 155, 315, 403, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.