GCD of 61, 6, 45, 31 Calculator

Given Input numbers are 61, 6, 45, 31

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

Divisors of 61

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

1, 61

Divisors of 6

List of positive integer divisors of 6 that divides 6 without a remainder.

1, 2, 3, 6

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 31

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

1, 31

Greatest Common Divisior

We found the divisors of 61, 6, 45, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 6, 45, 31 is 1.

Therefore, GCD of numbers 61, 6, 45, 31 is 1

Given Input Data is 61, 6, 45, 31

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

Prime Factorization of 61 is 61

Prime Factorization of 6 is 2 x 3

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 31 is 31

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(61, 6) = 366

GCD(61, 6) = ( 61 x 6 ) / 366

GCD(61, 6) = 366 / 366

GCD(61, 6) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 61, 6, 45, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 7, 32, 80
• GCD of 84, 8, 65, 30
• GCD of 83, 6, 65, 10
• GCD of 86, 4, 28, 22
• GCD of 19, 8, 50, 12

1. What is the GCD of 61, 6, 45, 31?

GCD of 61, 6, 45, 31 is 1

2. Where do I get the detailed procedure to find GCD of 61, 6, 45, 31?

You can find a detailed procedure to find GCD of 61, 6, 45, 31 on our page.

3. How to find GCD of 61, 6, 45, 31 on a calculator?

You can find the GCD of 61, 6, 45, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.