GCD of 507, 463, 160, 612 Calculator

Given Input numbers are 507, 463, 160, 612

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 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 507, 463, 160, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 463, 160, 612 is 1.

Therefore, GCD of numbers 507, 463, 160, 612 is 1

Given Input Data is 507, 463, 160, 612

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 463 is 463

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 612 is 2 x 2 x 3 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(507, 463) = 234741

GCD(507, 463) = ( 507 x 463 ) / 234741

GCD(507, 463) = 234741 / 234741

GCD(507, 463) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

GCD of 507, 463, 160, 612 is 1

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1. What is the GCD of 507, 463, 160, 612?

GCD of 507, 463, 160, 612 is 1

2. Where do I get the detailed procedure to find GCD of 507, 463, 160, 612?

You can find a detailed procedure to find GCD of 507, 463, 160, 612 on our page.

3. How to find GCD of 507, 463, 160, 612 on a calculator?

You can find the GCD of 507, 463, 160, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.