GCD of 870, 526, 60, 559 Calculator

Given Input numbers are 870, 526, 60, 559

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 526

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

1, 2, 263, 526

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 870, 526, 60, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 526, 60, 559 is 1.

Therefore, GCD of numbers 870, 526, 60, 559 is 1

Given Input Data is 870, 526, 60, 559

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 526 is 2 x 263

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 559 is 13 x 43

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(870, 526) = 228810

GCD(870, 526) = ( 870 x 526 ) / 228810

GCD(870, 526) = 457620 / 228810

GCD(870, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 559

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

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

GCD(2, 559) = 1118 / 1118

GCD(2, 559) = 1

GCD of 870, 526, 60, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 139, 27, 753
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• GCD of 573, 483, 56, 880

1. What is the GCD of 870, 526, 60, 559?

GCD of 870, 526, 60, 559 is 1

2. Where do I get the detailed procedure to find GCD of 870, 526, 60, 559?

You can find a detailed procedure to find GCD of 870, 526, 60, 559 on our page.

3. How to find GCD of 870, 526, 60, 559 on a calculator?

You can find the GCD of 870, 526, 60, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.