GCD of 421, 840, 20, 962 Calculator

Given Input numbers are 421, 840, 20, 962

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

Divisors of 421

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

1, 421

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

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 421, 840, 20, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 840, 20, 962 is 1.

Therefore, GCD of numbers 421, 840, 20, 962 is 1

Given Input Data is 421, 840, 20, 962

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

Prime Factorization of 421 is 421

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 20 is 2 x 2 x 5

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(421, 840) = 353640

GCD(421, 840) = ( 421 x 840 ) / 353640

GCD(421, 840) = 353640 / 353640

GCD(421, 840) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 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 421, 840, 20, 962 is 1

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1. What is the GCD of 421, 840, 20, 962?

GCD of 421, 840, 20, 962 is 1

2. Where do I get the detailed procedure to find GCD of 421, 840, 20, 962?

You can find a detailed procedure to find GCD of 421, 840, 20, 962 on our page.

3. How to find GCD of 421, 840, 20, 962 on a calculator?

You can find the GCD of 421, 840, 20, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.