GCD of 41, 4, 90, 59 Calculator

Given Input numbers are 41, 4, 90, 59

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

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 4

List of positive integer divisors of 4 that divides 4 without a remainder.

1, 2, 4

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Greatest Common Divisior

We found the divisors of 41, 4, 90, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 4, 90, 59 is 1.

Therefore, GCD of numbers 41, 4, 90, 59 is 1

Given Input Data is 41, 4, 90, 59

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

Prime Factorization of 41 is 41

Prime Factorization of 4 is 2 x 2

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 59 is 59

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(41, 4) = 164

GCD(41, 4) = ( 41 x 4 ) / 164

GCD(41, 4) = 164 / 164

GCD(41, 4) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

GCD of 41, 4, 90, 59 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 3, 99, 46
• GCD of 37, 1, 74, 73
• GCD of 95, 8, 97, 23
• GCD of 74, 1, 97, 95
• GCD of 97, 6, 15, 35

1. What is the GCD of 41, 4, 90, 59?

GCD of 41, 4, 90, 59 is 1

2. Where do I get the detailed procedure to find GCD of 41, 4, 90, 59?

You can find a detailed procedure to find GCD of 41, 4, 90, 59 on our page.

3. How to find GCD of 41, 4, 90, 59 on a calculator?

You can find the GCD of 41, 4, 90, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.