GCD of 652, 900, 270, 731 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 652, 900, 270, 731 i.e. 1 largest integer that divides all the numbers equally.

GCD of 652, 900, 270, 731 is 1

GCD(652, 900, 270, 731) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 652, 900, 270, 731 is 1

GCD(652, 900, 270, 731) = 1

GCD of 652,900,270,731 Calculator

GCDof 652,900,270,731 is 1

Given Input numbers are 652, 900, 270, 731

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

Divisors of 652

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

1, 2, 4, 163, 326, 652

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 652, 900, 270, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 900, 270, 731 is 1.

Therefore, GCD of numbers 652, 900, 270, 731 is 1

Finding GCD of 652, 900, 270, 731 using Prime Factorization

Given Input Data is 652, 900, 270, 731

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

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 731 is 17 x 43

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 652, 900, 270, 731 using LCM Formula

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(652, 900) = 146700

GCD(652, 900) = ( 652 x 900 ) / 146700

GCD(652, 900) = 586800 / 146700

GCD(652, 900) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 270

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

LCM(4, 270) = 540

GCD(4, 270) = ( 4 x 270 ) / 540

GCD(4, 270) = 1080 / 540

GCD(4, 270) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 731

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

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

GCD(2, 731) = 1462 / 1462

GCD(2, 731) = 1

GCD of 652, 900, 270, 731 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 652, 900, 270, 731

1. What is the GCD of 652, 900, 270, 731?

GCD of 652, 900, 270, 731 is 1


2. Where do I get the detailed procedure to find GCD of 652, 900, 270, 731?

You can find a detailed procedure to find GCD of 652, 900, 270, 731 on our page.


3. How to find GCD of 652, 900, 270, 731 on a calculator?

You can find the GCD of 652, 900, 270, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.