GCD of 420, 367, 370, 286 Calculator

Given Input numbers are 420, 367, 370, 286

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 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 420, 367, 370, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 367, 370, 286 is 1.

Therefore, GCD of numbers 420, 367, 370, 286 is 1

Given Input Data is 420, 367, 370, 286

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 367 is 367

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 286 is 2 x 11 x 13

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, 367) = 154140

GCD(420, 367) = ( 420 x 367 ) / 154140

GCD(420, 367) = 154140 / 154140

GCD(420, 367) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 420, 367, 370, 286 is 1

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1. What is the GCD of 420, 367, 370, 286?

GCD of 420, 367, 370, 286 is 1

2. Where do I get the detailed procedure to find GCD of 420, 367, 370, 286?

You can find a detailed procedure to find GCD of 420, 367, 370, 286 on our page.

3. How to find GCD of 420, 367, 370, 286 on a calculator?

You can find the GCD of 420, 367, 370, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.