GCD of 460, 537, 26, 525 Calculator

Given Input numbers are 460, 537, 26, 525

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 537

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

1, 3, 179, 537

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 460, 537, 26, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 537, 26, 525 is 1.

Therefore, GCD of numbers 460, 537, 26, 525 is 1

Given Input Data is 460, 537, 26, 525

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 537 is 3 x 179

Prime Factorization of 26 is 2 x 13

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(460, 537) = 247020

GCD(460, 537) = ( 460 x 537 ) / 247020

GCD(460, 537) = 247020 / 247020

GCD(460, 537) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 26

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

LCM(1, 26) = 26

GCD(1, 26) = ( 1 x 26 ) / 26

GCD(1, 26) = 26 / 26

GCD(1, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 460, 537, 26, 525 is 1

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1. What is the GCD of 460, 537, 26, 525?

GCD of 460, 537, 26, 525 is 1

2. Where do I get the detailed procedure to find GCD of 460, 537, 26, 525?

You can find a detailed procedure to find GCD of 460, 537, 26, 525 on our page.

3. How to find GCD of 460, 537, 26, 525 on a calculator?

You can find the GCD of 460, 537, 26, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.