GCD of 987, 208, 58, 445 Calculator

Given Input numbers are 987, 208, 58, 445

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Greatest Common Divisior

We found the divisors of 987, 208, 58, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 208, 58, 445 is 1.

Therefore, GCD of numbers 987, 208, 58, 445 is 1

Given Input Data is 987, 208, 58, 445

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 58 is 2 x 29

Prime Factorization of 445 is 5 x 89

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(987, 208) = 205296

GCD(987, 208) = ( 987 x 208 ) / 205296

GCD(987, 208) = 205296 / 205296

GCD(987, 208) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 445

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

LCM(1, 445) = 445

GCD(1, 445) = ( 1 x 445 ) / 445

GCD(1, 445) = 445 / 445

GCD(1, 445) = 1

GCD of 987, 208, 58, 445 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 507, 55, 548
• GCD of 343, 190, 60, 528
• GCD of 885, 775, 56, 533
• GCD of 106, 294, 64, 141
• GCD of 864, 908, 86, 750

1. What is the GCD of 987, 208, 58, 445?

GCD of 987, 208, 58, 445 is 1

2. Where do I get the detailed procedure to find GCD of 987, 208, 58, 445?

You can find a detailed procedure to find GCD of 987, 208, 58, 445 on our page.

3. How to find GCD of 987, 208, 58, 445 on a calculator?

You can find the GCD of 987, 208, 58, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.