GCD of 420, 403, 83, 108 Calculator

Given Input numbers are 420, 403, 83, 108

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 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 420, 403, 83, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 403, 83, 108 is 1.

Therefore, GCD of numbers 420, 403, 83, 108 is 1

Given Input Data is 420, 403, 83, 108

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 403 is 13 x 31

Prime Factorization of 83 is 83

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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, 403) = 169260

GCD(420, 403) = ( 420 x 403 ) / 169260

GCD(420, 403) = 169260 / 169260

GCD(420, 403) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 420, 403, 83, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 945, 74, 413
• GCD of 537, 957, 94, 359
• GCD of 517, 985, 71, 781
• GCD of 550, 450, 86, 714
• GCD of 530, 178, 86, 424

1. What is the GCD of 420, 403, 83, 108?

GCD of 420, 403, 83, 108 is 1

2. Where do I get the detailed procedure to find GCD of 420, 403, 83, 108?

You can find a detailed procedure to find GCD of 420, 403, 83, 108 on our page.

3. How to find GCD of 420, 403, 83, 108 on a calculator?

You can find the GCD of 420, 403, 83, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.