GCD of 220, 205, 47, 961 Calculator

Given Input numbers are 220, 205, 47, 961

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 220, 205, 47, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 205, 47, 961 is 1.

Therefore, GCD of numbers 220, 205, 47, 961 is 1

Given Input Data is 220, 205, 47, 961

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 205 is 5 x 41

Prime Factorization of 47 is 47

Prime Factorization of 961 is 31 x 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(220, 205) = 9020

GCD(220, 205) = ( 220 x 205 ) / 9020

GCD(220, 205) = 45100 / 9020

GCD(220, 205) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 47

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

LCM(5, 47) = 235

GCD(5, 47) = ( 5 x 47 ) / 235

GCD(5, 47) = 235 / 235

GCD(5, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 220, 205, 47, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 711, 39, 160
• GCD of 607, 459, 53, 305
• GCD of 985, 256, 38, 372
• GCD of 999, 698, 46, 622
• GCD of 761, 348, 26, 898

1. What is the GCD of 220, 205, 47, 961?

GCD of 220, 205, 47, 961 is 1

2. Where do I get the detailed procedure to find GCD of 220, 205, 47, 961?

You can find a detailed procedure to find GCD of 220, 205, 47, 961 on our page.

3. How to find GCD of 220, 205, 47, 961 on a calculator?

You can find the GCD of 220, 205, 47, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.