GCD of 513, 692, 981, 225 Calculator

Given Input numbers are 513, 692, 981, 225

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 513, 692, 981, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 692, 981, 225 is 1.

Therefore, GCD of numbers 513, 692, 981, 225 is 1

Given Input Data is 513, 692, 981, 225

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 225 is 3 x 3 x 5 x 5

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(513, 692) = 354996

GCD(513, 692) = ( 513 x 692 ) / 354996

GCD(513, 692) = 354996 / 354996

GCD(513, 692) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 513, 692, 981, 225 is 1

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1. What is the GCD of 513, 692, 981, 225?

GCD of 513, 692, 981, 225 is 1

2. Where do I get the detailed procedure to find GCD of 513, 692, 981, 225?

You can find a detailed procedure to find GCD of 513, 692, 981, 225 on our page.

3. How to find GCD of 513, 692, 981, 225 on a calculator?

You can find the GCD of 513, 692, 981, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.