GCD of 495, 730, 25, 542 Calculator

Given Input numbers are 495, 730, 25, 542

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 495, 730, 25, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 730, 25, 542 is 1.

Therefore, GCD of numbers 495, 730, 25, 542 is 1

Given Input Data is 495, 730, 25, 542

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 25 is 5 x 5

Prime Factorization of 542 is 2 x 271

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(495, 730) = 72270

GCD(495, 730) = ( 495 x 730 ) / 72270

GCD(495, 730) = 361350 / 72270

GCD(495, 730) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 25

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

LCM(5, 25) = 25

GCD(5, 25) = ( 5 x 25 ) / 25

GCD(5, 25) = 125 / 25

GCD(5, 25) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 542

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

LCM(5, 542) = 2710

GCD(5, 542) = ( 5 x 542 ) / 2710

GCD(5, 542) = 2710 / 2710

GCD(5, 542) = 1

GCD of 495, 730, 25, 542 is 1

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1. What is the GCD of 495, 730, 25, 542?

GCD of 495, 730, 25, 542 is 1

2. Where do I get the detailed procedure to find GCD of 495, 730, 25, 542?

You can find a detailed procedure to find GCD of 495, 730, 25, 542 on our page.

3. How to find GCD of 495, 730, 25, 542 on a calculator?

You can find the GCD of 495, 730, 25, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.