GCD of 597, 732, 537 Calculator

Given Input numbers are 597, 732, 537

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

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

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 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 597, 732, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 732, 537 is 3.

Therefore, GCD of numbers 597, 732, 537 is 3

Given Input Data is 597, 732, 537

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

Prime Factorization of 597 is 3 x 199

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

Prime Factorization of 537 is 3 x 179

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(597, 732) = 145668

GCD(597, 732) = ( 597 x 732 ) / 145668

GCD(597, 732) = 437004 / 145668

GCD(597, 732) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 537

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

LCM(3, 537) = 537

GCD(3, 537) = ( 3 x 537 ) / 537

GCD(3, 537) = 1611 / 537

GCD(3, 537) = 3

GCD of 597, 732, 537 is 3

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1. What is the GCD of 597, 732, 537?

GCD of 597, 732, 537 is 3

2. Where do I get the detailed procedure to find GCD of 597, 732, 537?

You can find a detailed procedure to find GCD of 597, 732, 537 on our page.

3. How to find GCD of 597, 732, 537 on a calculator?

You can find the GCD of 597, 732, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.