GCD of 59, 873, 107, 164 Calculator

Given Input numbers are 59, 873, 107, 164

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

Divisors of 59

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

1, 59

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 59, 873, 107, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 873, 107, 164 is 1.

Therefore, GCD of numbers 59, 873, 107, 164 is 1

Given Input Data is 59, 873, 107, 164

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

Prime Factorization of 59 is 59

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 107 is 107

Prime Factorization of 164 is 2 x 2 x 41

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(59, 873) = 51507

GCD(59, 873) = ( 59 x 873 ) / 51507

GCD(59, 873) = 51507 / 51507

GCD(59, 873) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 59, 873, 107, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 101, 761, 869
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• GCD of 71, 361, 837, 450
• GCD of 82, 169, 850, 583
• GCD of 46, 714, 288, 674

1. What is the GCD of 59, 873, 107, 164?

GCD of 59, 873, 107, 164 is 1

2. Where do I get the detailed procedure to find GCD of 59, 873, 107, 164?

You can find a detailed procedure to find GCD of 59, 873, 107, 164 on our page.

3. How to find GCD of 59, 873, 107, 164 on a calculator?

You can find the GCD of 59, 873, 107, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.