GCD of 475, 199, 21, 961 Calculator

Given Input numbers are 475, 199, 21, 961

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 475, 199, 21, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 199, 21, 961 is 1.

Therefore, GCD of numbers 475, 199, 21, 961 is 1

Given Input Data is 475, 199, 21, 961

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 199 is 199

Prime Factorization of 21 is 3 x 7

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(475, 199) = 94525

GCD(475, 199) = ( 475 x 199 ) / 94525

GCD(475, 199) = 94525 / 94525

GCD(475, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 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 475, 199, 21, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 192, 84, 820
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• GCD of 658, 729, 18, 263
• GCD of 951, 385, 21, 839
• GCD of 642, 107, 69, 532

1. What is the GCD of 475, 199, 21, 961?

GCD of 475, 199, 21, 961 is 1

2. Where do I get the detailed procedure to find GCD of 475, 199, 21, 961?

You can find a detailed procedure to find GCD of 475, 199, 21, 961 on our page.

3. How to find GCD of 475, 199, 21, 961 on a calculator?

You can find the GCD of 475, 199, 21, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.