GCD of 420, 687, 36, 139 Calculator

Given Input numbers are 420, 687, 36, 139

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 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Greatest Common Divisior

We found the divisors of 420, 687, 36, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 687, 36, 139 is 1.

Therefore, GCD of numbers 420, 687, 36, 139 is 1

Given Input Data is 420, 687, 36, 139

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 687 is 3 x 229

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 139 is 139

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, 687) = 96180

GCD(420, 687) = ( 420 x 687 ) / 96180

GCD(420, 687) = 288540 / 96180

GCD(420, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 139

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

LCM(3, 139) = 417

GCD(3, 139) = ( 3 x 139 ) / 417

GCD(3, 139) = 417 / 417

GCD(3, 139) = 1

GCD of 420, 687, 36, 139 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 647, 717, 10, 331
• GCD of 612, 451, 29, 955
• GCD of 761, 322, 49, 826
• GCD of 265, 379, 21, 763
• GCD of 173, 666, 16, 553

1. What is the GCD of 420, 687, 36, 139?

GCD of 420, 687, 36, 139 is 1

2. Where do I get the detailed procedure to find GCD of 420, 687, 36, 139?

You can find a detailed procedure to find GCD of 420, 687, 36, 139 on our page.

3. How to find GCD of 420, 687, 36, 139 on a calculator?

You can find the GCD of 420, 687, 36, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.