GCD of 462, 109, 51, 612 Calculator

Given Input numbers are 462, 109, 51, 612

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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 462, 109, 51, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 109, 51, 612 is 1.

Therefore, GCD of numbers 462, 109, 51, 612 is 1

Given Input Data is 462, 109, 51, 612

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 109 is 109

Prime Factorization of 51 is 3 x 17

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(462, 109) = 50358

GCD(462, 109) = ( 462 x 109 ) / 50358

GCD(462, 109) = 50358 / 50358

GCD(462, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 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 462, 109, 51, 612 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 182, 11, 205
• GCD of 797, 540, 78, 413
• GCD of 289, 915, 37, 542
• GCD of 526, 648, 94, 237
• GCD of 773, 172, 56, 300

1. What is the GCD of 462, 109, 51, 612?

GCD of 462, 109, 51, 612 is 1

2. Where do I get the detailed procedure to find GCD of 462, 109, 51, 612?

You can find a detailed procedure to find GCD of 462, 109, 51, 612 on our page.

3. How to find GCD of 462, 109, 51, 612 on a calculator?

You can find the GCD of 462, 109, 51, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.