GCD of 507, 610, 412, 678 Calculator

Given Input numbers are 507, 610, 412, 678

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 678

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

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

Greatest Common Divisior

We found the divisors of 507, 610, 412, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 610, 412, 678 is 1.

Therefore, GCD of numbers 507, 610, 412, 678 is 1

Given Input Data is 507, 610, 412, 678

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 678 is 2 x 3 x 113

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(507, 610) = 309270

GCD(507, 610) = ( 507 x 610 ) / 309270

GCD(507, 610) = 309270 / 309270

GCD(507, 610) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 507, 610, 412, 678 is 1

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1. What is the GCD of 507, 610, 412, 678?

GCD of 507, 610, 412, 678 is 1

2. Where do I get the detailed procedure to find GCD of 507, 610, 412, 678?

You can find a detailed procedure to find GCD of 507, 610, 412, 678 on our page.

3. How to find GCD of 507, 610, 412, 678 on a calculator?

You can find the GCD of 507, 610, 412, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.