GCD of 522, 540, 59, 945 Calculator

Given Input numbers are 522, 540, 59, 945

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 522, 540, 59, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 540, 59, 945 is 1.

Therefore, GCD of numbers 522, 540, 59, 945 is 1

Given Input Data is 522, 540, 59, 945

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 59 is 59

Prime Factorization of 945 is 3 x 3 x 3 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(522, 540) = 15660

GCD(522, 540) = ( 522 x 540 ) / 15660

GCD(522, 540) = 281880 / 15660

GCD(522, 540) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 59

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

LCM(18, 59) = 1062

GCD(18, 59) = ( 18 x 59 ) / 1062

GCD(18, 59) = 1062 / 1062

GCD(18, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 522, 540, 59, 945 is 1

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1. What is the GCD of 522, 540, 59, 945?

GCD of 522, 540, 59, 945 is 1

2. Where do I get the detailed procedure to find GCD of 522, 540, 59, 945?

You can find a detailed procedure to find GCD of 522, 540, 59, 945 on our page.

3. How to find GCD of 522, 540, 59, 945 on a calculator?

You can find the GCD of 522, 540, 59, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.