GCD of 840, 286, 37, 204 Calculator

Given Input numbers are 840, 286, 37, 204

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

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 286

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

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 840, 286, 37, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 286, 37, 204 is 1.

Therefore, GCD of numbers 840, 286, 37, 204 is 1

Given Input Data is 840, 286, 37, 204

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

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 37 is 37

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(840, 286) = 120120

GCD(840, 286) = ( 840 x 286 ) / 120120

GCD(840, 286) = 240240 / 120120

GCD(840, 286) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 840, 286, 37, 204 is 1

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1. What is the GCD of 840, 286, 37, 204?

GCD of 840, 286, 37, 204 is 1

2. Where do I get the detailed procedure to find GCD of 840, 286, 37, 204?

You can find a detailed procedure to find GCD of 840, 286, 37, 204 on our page.

3. How to find GCD of 840, 286, 37, 204 on a calculator?

You can find the GCD of 840, 286, 37, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.