GCD of 72, 597, 465, 258 Calculator

Given Input numbers are 72, 597, 465, 258

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 597

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

1, 3, 199, 597

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 72, 597, 465, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 597, 465, 258 is 3.

Therefore, GCD of numbers 72, 597, 465, 258 is 3

Given Input Data is 72, 597, 465, 258

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 597 is 3 x 199

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 258 is 2 x 3 x 43

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(72, 597) = 14328

GCD(72, 597) = ( 72 x 597 ) / 14328

GCD(72, 597) = 42984 / 14328

GCD(72, 597) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 465

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

LCM(3, 465) = 465

GCD(3, 465) = ( 3 x 465 ) / 465

GCD(3, 465) = 1395 / 465

GCD(3, 465) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 258

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

LCM(3, 258) = 258

GCD(3, 258) = ( 3 x 258 ) / 258

GCD(3, 258) = 774 / 258

GCD(3, 258) = 3

GCD of 72, 597, 465, 258 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 123, 129, 799
• GCD of 94, 772, 765, 432
• GCD of 21, 635, 985, 511
• GCD of 39, 429, 386, 689
• GCD of 41, 810, 488, 729

1. What is the GCD of 72, 597, 465, 258?

GCD of 72, 597, 465, 258 is 3

2. Where do I get the detailed procedure to find GCD of 72, 597, 465, 258?

You can find a detailed procedure to find GCD of 72, 597, 465, 258 on our page.

3. How to find GCD of 72, 597, 465, 258 on a calculator?

You can find the GCD of 72, 597, 465, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.