GCD of 621, 959, 45, 312 Calculator

Given Input numbers are 621, 959, 45, 312

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

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 621, 959, 45, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 621, 959, 45, 312 is 1.

Therefore, GCD of numbers 621, 959, 45, 312 is 1

Given Input Data is 621, 959, 45, 312

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

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 959 is 7 x 137

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(621, 959) = 595539

GCD(621, 959) = ( 621 x 959 ) / 595539

GCD(621, 959) = 595539 / 595539

GCD(621, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 621, 959, 45, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 781, 34, 578
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• GCD of 824, 808, 50, 683
• GCD of 239, 523, 48, 643
• GCD of 344, 741, 36, 990

1. What is the GCD of 621, 959, 45, 312?

GCD of 621, 959, 45, 312 is 1

2. Where do I get the detailed procedure to find GCD of 621, 959, 45, 312?

You can find a detailed procedure to find GCD of 621, 959, 45, 312 on our page.

3. How to find GCD of 621, 959, 45, 312 on a calculator?

You can find the GCD of 621, 959, 45, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.