GCD of 987, 546, 305, 622 Calculator

Given Input numbers are 987, 546, 305, 622

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 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 987, 546, 305, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 546, 305, 622 is 1.

Therefore, GCD of numbers 987, 546, 305, 622 is 1

Given Input Data is 987, 546, 305, 622

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 546 is 2 x 3 x 7 x 13

Prime Factorization of 305 is 5 x 61

Prime Factorization of 622 is 2 x 311

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, 546) = 25662

GCD(987, 546) = ( 987 x 546 ) / 25662

GCD(987, 546) = 538902 / 25662

GCD(987, 546) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 305

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

LCM(21, 305) = 6405

GCD(21, 305) = ( 21 x 305 ) / 6405

GCD(21, 305) = 6405 / 6405

GCD(21, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 622

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

LCM(1, 622) = 622

GCD(1, 622) = ( 1 x 622 ) / 622

GCD(1, 622) = 622 / 622

GCD(1, 622) = 1

GCD of 987, 546, 305, 622 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 504, 726, 447
• GCD of 342, 773, 386, 937
• GCD of 323, 628, 869, 864
• GCD of 143, 806, 392, 210
• GCD of 824, 399, 633, 764

1. What is the GCD of 987, 546, 305, 622?

GCD of 987, 546, 305, 622 is 1

2. Where do I get the detailed procedure to find GCD of 987, 546, 305, 622?

You can find a detailed procedure to find GCD of 987, 546, 305, 622 on our page.

3. How to find GCD of 987, 546, 305, 622 on a calculator?

You can find the GCD of 987, 546, 305, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.