GCD of 126, 325, 527, 512 Calculator

Given Input numbers are 126, 325, 527, 512

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 126, 325, 527, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 325, 527, 512 is 1.

Therefore, GCD of numbers 126, 325, 527, 512 is 1

Given Input Data is 126, 325, 527, 512

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 527 is 17 x 31

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(126, 325) = 40950

GCD(126, 325) = ( 126 x 325 ) / 40950

GCD(126, 325) = 40950 / 40950

GCD(126, 325) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 126, 325, 527, 512 is 1

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1. What is the GCD of 126, 325, 527, 512?

GCD of 126, 325, 527, 512 is 1

2. Where do I get the detailed procedure to find GCD of 126, 325, 527, 512?

You can find a detailed procedure to find GCD of 126, 325, 527, 512 on our page.

3. How to find GCD of 126, 325, 527, 512 on a calculator?

You can find the GCD of 126, 325, 527, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.