GCD of 369, 855, 540, 151 Calculator

Given Input numbers are 369, 855, 540, 151

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Greatest Common Divisior

We found the divisors of 369, 855, 540, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 855, 540, 151 is 1.

Therefore, GCD of numbers 369, 855, 540, 151 is 1

Given Input Data is 369, 855, 540, 151

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 151 is 151

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(369, 855) = 35055

GCD(369, 855) = ( 369 x 855 ) / 35055

GCD(369, 855) = 315495 / 35055

GCD(369, 855) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 540

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

LCM(9, 540) = 540

GCD(9, 540) = ( 9 x 540 ) / 540

GCD(9, 540) = 4860 / 540

GCD(9, 540) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 151

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

LCM(9, 151) = 1359

GCD(9, 151) = ( 9 x 151 ) / 1359

GCD(9, 151) = 1359 / 1359

GCD(9, 151) = 1

GCD of 369, 855, 540, 151 is 1

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1. What is the GCD of 369, 855, 540, 151?

GCD of 369, 855, 540, 151 is 1

2. Where do I get the detailed procedure to find GCD of 369, 855, 540, 151?

You can find a detailed procedure to find GCD of 369, 855, 540, 151 on our page.

3. How to find GCD of 369, 855, 540, 151 on a calculator?

You can find the GCD of 369, 855, 540, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.