GCD of 95, 20, 31, 61 Calculator

Given Input numbers are 95, 20, 31, 61

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

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 31

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

1, 31

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Greatest Common Divisior

We found the divisors of 95, 20, 31, 61 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 20, 31, 61 is 1.

Therefore, GCD of numbers 95, 20, 31, 61 is 1

Given Input Data is 95, 20, 31, 61

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

Prime Factorization of 95 is 5 x 19

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 31 is 31

Prime Factorization of 61 is 61

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(95, 20) = 380

GCD(95, 20) = ( 95 x 20 ) / 380

GCD(95, 20) = 1900 / 380

GCD(95, 20) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 31

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

LCM(5, 31) = 155

GCD(5, 31) = ( 5 x 31 ) / 155

GCD(5, 31) = 155 / 155

GCD(5, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

GCD of 95, 20, 31, 61 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 58, 87, 45
• GCD of 53, 63, 13, 90
• GCD of 71, 67, 46, 66
• GCD of 11, 66, 38, 64
• GCD of 96, 26, 49, 24

1. What is the GCD of 95, 20, 31, 61?

GCD of 95, 20, 31, 61 is 1

2. Where do I get the detailed procedure to find GCD of 95, 20, 31, 61?

You can find a detailed procedure to find GCD of 95, 20, 31, 61 on our page.

3. How to find GCD of 95, 20, 31, 61 on a calculator?

You can find the GCD of 95, 20, 31, 61 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.