GCD of 468, 740, 500, 261 Calculator

Given Input numbers are 468, 740, 500, 261

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 468, 740, 500, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 740, 500, 261 is 1.

Therefore, GCD of numbers 468, 740, 500, 261 is 1

Given Input Data is 468, 740, 500, 261

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 261 is 3 x 3 x 29

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

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(468, 740) = 86580

GCD(468, 740) = ( 468 x 740 ) / 86580

GCD(468, 740) = 346320 / 86580

GCD(468, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 500

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

LCM(4, 500) = 500

GCD(4, 500) = ( 4 x 500 ) / 500

GCD(4, 500) = 2000 / 500

GCD(4, 500) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 261

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

LCM(4, 261) = 1044

GCD(4, 261) = ( 4 x 261 ) / 1044

GCD(4, 261) = 1044 / 1044

GCD(4, 261) = 1

GCD of 468, 740, 500, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 574, 165, 184
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• GCD of 911, 500, 456, 960

1. What is the GCD of 468, 740, 500, 261?

GCD of 468, 740, 500, 261 is 1

2. Where do I get the detailed procedure to find GCD of 468, 740, 500, 261?

You can find a detailed procedure to find GCD of 468, 740, 500, 261 on our page.

3. How to find GCD of 468, 740, 500, 261 on a calculator?

You can find the GCD of 468, 740, 500, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.