GCD of 527, 520, 169, 576 Calculator

Given Input numbers are 527, 520, 169, 576

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

Divisors of 527

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

1, 17, 31, 527

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 527, 520, 169, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 520, 169, 576 is 1.

Therefore, GCD of numbers 527, 520, 169, 576 is 1

Given Input Data is 527, 520, 169, 576

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 169 is 13 x 13

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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(527, 520) = 274040

GCD(527, 520) = ( 527 x 520 ) / 274040

GCD(527, 520) = 274040 / 274040

GCD(527, 520) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

GCD of 527, 520, 169, 576 is 1

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1. What is the GCD of 527, 520, 169, 576?

GCD of 527, 520, 169, 576 is 1

2. Where do I get the detailed procedure to find GCD of 527, 520, 169, 576?

You can find a detailed procedure to find GCD of 527, 520, 169, 576 on our page.

3. How to find GCD of 527, 520, 169, 576 on a calculator?

You can find the GCD of 527, 520, 169, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.