GCD of 420, 792, 19, 678 Calculator

Given Input numbers are 420, 792, 19, 678

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 420, 792, 19, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 792, 19, 678 is 1.

Therefore, GCD of numbers 420, 792, 19, 678 is 1

Given Input Data is 420, 792, 19, 678

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 19 is 19

Prime Factorization of 678 is 2 x 3 x 113

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(420, 792) = 27720

GCD(420, 792) = ( 420 x 792 ) / 27720

GCD(420, 792) = 332640 / 27720

GCD(420, 792) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 19

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

LCM(12, 19) = 228

GCD(12, 19) = ( 12 x 19 ) / 228

GCD(12, 19) = 228 / 228

GCD(12, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 420, 792, 19, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 751, 900, 80, 891
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1. What is the GCD of 420, 792, 19, 678?

GCD of 420, 792, 19, 678 is 1

2. Where do I get the detailed procedure to find GCD of 420, 792, 19, 678?

You can find a detailed procedure to find GCD of 420, 792, 19, 678 on our page.

3. How to find GCD of 420, 792, 19, 678 on a calculator?

You can find the GCD of 420, 792, 19, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.