GCD of 953, 106, 21, 421 Calculator

Given Input numbers are 953, 106, 21, 421

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

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 21

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

1, 3, 7, 21

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 953, 106, 21, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 953, 106, 21, 421 is 1.

Therefore, GCD of numbers 953, 106, 21, 421 is 1

Given Input Data is 953, 106, 21, 421

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

Prime Factorization of 953 is 953

Prime Factorization of 106 is 2 x 53

Prime Factorization of 21 is 3 x 7

Prime Factorization of 421 is 421

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(953, 106) = 101018

GCD(953, 106) = ( 953 x 106 ) / 101018

GCD(953, 106) = 101018 / 101018

GCD(953, 106) = 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 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 953, 106, 21, 421 is 1

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1. What is the GCD of 953, 106, 21, 421?

GCD of 953, 106, 21, 421 is 1

2. Where do I get the detailed procedure to find GCD of 953, 106, 21, 421?

You can find a detailed procedure to find GCD of 953, 106, 21, 421 on our page.

3. How to find GCD of 953, 106, 21, 421 on a calculator?

You can find the GCD of 953, 106, 21, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.