GCD of 31, 159, 598, 541 Calculator

Given Input numbers are 31, 159, 598, 541

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 159

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

1, 3, 53, 159

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Greatest Common Divisior

We found the divisors of 31, 159, 598, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 159, 598, 541 is 1.

Therefore, GCD of numbers 31, 159, 598, 541 is 1

Given Input Data is 31, 159, 598, 541

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

Prime Factorization of 31 is 31

Prime Factorization of 159 is 3 x 53

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 541 is 541

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(31, 159) = 4929

GCD(31, 159) = ( 31 x 159 ) / 4929

GCD(31, 159) = 4929 / 4929

GCD(31, 159) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 541

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

LCM(1, 541) = 541

GCD(1, 541) = ( 1 x 541 ) / 541

GCD(1, 541) = 541 / 541

GCD(1, 541) = 1

GCD of 31, 159, 598, 541 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 228, 844, 461
• GCD of 88, 982, 391, 508
• GCD of 40, 986, 834, 302
• GCD of 47, 304, 178, 276
• GCD of 61, 141, 181, 746

1. What is the GCD of 31, 159, 598, 541?

GCD of 31, 159, 598, 541 is 1

2. Where do I get the detailed procedure to find GCD of 31, 159, 598, 541?

You can find a detailed procedure to find GCD of 31, 159, 598, 541 on our page.

3. How to find GCD of 31, 159, 598, 541 on a calculator?

You can find the GCD of 31, 159, 598, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.