GCD of 31, 290, 104, 962 Calculator

Given Input numbers are 31, 290, 104, 962

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 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 31, 290, 104, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 290, 104, 962 is 1.

Therefore, GCD of numbers 31, 290, 104, 962 is 1

Given Input Data is 31, 290, 104, 962

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

Prime Factorization of 31 is 31

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 962 is 2 x 13 x 37

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, 290) = 8990

GCD(31, 290) = ( 31 x 290 ) / 8990

GCD(31, 290) = 8990 / 8990

GCD(31, 290) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 962

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

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

GCD(1, 962) = 962 / 962

GCD(1, 962) = 1

GCD of 31, 290, 104, 962 is 1

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1. What is the GCD of 31, 290, 104, 962?

GCD of 31, 290, 104, 962 is 1

2. Where do I get the detailed procedure to find GCD of 31, 290, 104, 962?

You can find a detailed procedure to find GCD of 31, 290, 104, 962 on our page.

3. How to find GCD of 31, 290, 104, 962 on a calculator?

You can find the GCD of 31, 290, 104, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.