GCD of 464, 654, 517, 612 Calculator

Given Input numbers are 464, 654, 517, 612

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

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 464, 654, 517, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 654, 517, 612 is 1.

Therefore, GCD of numbers 464, 654, 517, 612 is 1

Given Input Data is 464, 654, 517, 612

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 517 is 11 x 47

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(464, 654) = 151728

GCD(464, 654) = ( 464 x 654 ) / 151728

GCD(464, 654) = 303456 / 151728

GCD(464, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 517

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

LCM(2, 517) = 1034

GCD(2, 517) = ( 2 x 517 ) / 1034

GCD(2, 517) = 1034 / 1034

GCD(2, 517) = 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 464, 654, 517, 612 is 1

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1. What is the GCD of 464, 654, 517, 612?

GCD of 464, 654, 517, 612 is 1

2. Where do I get the detailed procedure to find GCD of 464, 654, 517, 612?

You can find a detailed procedure to find GCD of 464, 654, 517, 612 on our page.

3. How to find GCD of 464, 654, 517, 612 on a calculator?

You can find the GCD of 464, 654, 517, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.