GCD of 622, 652, 732, 464 Calculator

Given Input numbers are 622, 652, 732, 464

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

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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

Greatest Common Divisior

We found the divisors of 622, 652, 732, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 622, 652, 732, 464 is 2.

Therefore, GCD of numbers 622, 652, 732, 464 is 2

Given Input Data is 622, 652, 732, 464

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

Prime Factorization of 622 is 2 x 311

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 732 is 2 x 2 x 3 x 61

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(622, 652) = 202772

GCD(622, 652) = ( 622 x 652 ) / 202772

GCD(622, 652) = 405544 / 202772

GCD(622, 652) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 732

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

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

GCD(2, 732) = 1464 / 732

GCD(2, 732) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 622, 652, 732, 464 is 2

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1. What is the GCD of 622, 652, 732, 464?

GCD of 622, 652, 732, 464 is 2

2. Where do I get the detailed procedure to find GCD of 622, 652, 732, 464?

You can find a detailed procedure to find GCD of 622, 652, 732, 464 on our page.

3. How to find GCD of 622, 652, 732, 464 on a calculator?

You can find the GCD of 622, 652, 732, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.