GCD of 520, 526, 59, 189 Calculator

Given Input numbers are 520, 526, 59, 189

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

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 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 59

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

1, 59

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 520, 526, 59, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 526, 59, 189 is 1.

Therefore, GCD of numbers 520, 526, 59, 189 is 1

Given Input Data is 520, 526, 59, 189

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

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

Prime Factorization of 526 is 2 x 263

Prime Factorization of 59 is 59

Prime Factorization of 189 is 3 x 3 x 3 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(520, 526) = 136760

GCD(520, 526) = ( 520 x 526 ) / 136760

GCD(520, 526) = 273520 / 136760

GCD(520, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 520, 526, 59, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 783, 25, 635
• GCD of 915, 919, 43, 604
• GCD of 868, 810, 32, 403
• GCD of 359, 885, 97, 990
• GCD of 697, 690, 52, 244

1. What is the GCD of 520, 526, 59, 189?

GCD of 520, 526, 59, 189 is 1

2. Where do I get the detailed procedure to find GCD of 520, 526, 59, 189?

You can find a detailed procedure to find GCD of 520, 526, 59, 189 on our page.

3. How to find GCD of 520, 526, 59, 189 on a calculator?

You can find the GCD of 520, 526, 59, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.