GCD of 732, 598, 52, 458 Calculator

Given Input numbers are 732, 598, 52, 458

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

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 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 732, 598, 52, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 598, 52, 458 is 2.

Therefore, GCD of numbers 732, 598, 52, 458 is 2

Given Input Data is 732, 598, 52, 458

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

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 458 is 2 x 229

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(732, 598) = 218868

GCD(732, 598) = ( 732 x 598 ) / 218868

GCD(732, 598) = 437736 / 218868

GCD(732, 598) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 458

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

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

GCD(2, 458) = 916 / 458

GCD(2, 458) = 2

GCD of 732, 598, 52, 458 is 2

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• GCD of 803, 646, 84, 166
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1. What is the GCD of 732, 598, 52, 458?

GCD of 732, 598, 52, 458 is 2

2. Where do I get the detailed procedure to find GCD of 732, 598, 52, 458?

You can find a detailed procedure to find GCD of 732, 598, 52, 458 on our page.

3. How to find GCD of 732, 598, 52, 458 on a calculator?

You can find the GCD of 732, 598, 52, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.