GCD of 722, 512, 544, 464 Calculator

Given Input numbers are 722, 512, 544, 464

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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 722, 512, 544, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 512, 544, 464 is 2.

Therefore, GCD of numbers 722, 512, 544, 464 is 2

Given Input Data is 722, 512, 544, 464

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

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(722, 512) = 184832

GCD(722, 512) = ( 722 x 512 ) / 184832

GCD(722, 512) = 369664 / 184832

GCD(722, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 544

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

LCM(2, 544) = 544

GCD(2, 544) = ( 2 x 544 ) / 544

GCD(2, 544) = 1088 / 544

GCD(2, 544) = 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 722, 512, 544, 464 is 2

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1. What is the GCD of 722, 512, 544, 464?

GCD of 722, 512, 544, 464 is 2

2. Where do I get the detailed procedure to find GCD of 722, 512, 544, 464?

You can find a detailed procedure to find GCD of 722, 512, 544, 464 on our page.

3. How to find GCD of 722, 512, 544, 464 on a calculator?

You can find the GCD of 722, 512, 544, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.