GCD of 678, 487, 36, 782 Calculator

Given Input numbers are 678, 487, 36, 782

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

Divisors of 678

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

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

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

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 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 678, 487, 36, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 487, 36, 782 is 1.

Therefore, GCD of numbers 678, 487, 36, 782 is 1

Given Input Data is 678, 487, 36, 782

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 487 is 487

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

Prime Factorization of 782 is 2 x 17 x 23

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(678, 487) = 330186

GCD(678, 487) = ( 678 x 487 ) / 330186

GCD(678, 487) = 330186 / 330186

GCD(678, 487) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 678, 487, 36, 782 is 1

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1. What is the GCD of 678, 487, 36, 782?

GCD of 678, 487, 36, 782 is 1

2. Where do I get the detailed procedure to find GCD of 678, 487, 36, 782?

You can find a detailed procedure to find GCD of 678, 487, 36, 782 on our page.

3. How to find GCD of 678, 487, 36, 782 on a calculator?

You can find the GCD of 678, 487, 36, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.