GCD of 984, 328, 59, 920 Calculator

Given Input numbers are 984, 328, 59, 920

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 59

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

1, 59

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 984, 328, 59, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 328, 59, 920 is 1.

Therefore, GCD of numbers 984, 328, 59, 920 is 1

Given Input Data is 984, 328, 59, 920

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 59 is 59

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(984, 328) = 984

GCD(984, 328) = ( 984 x 328 ) / 984

GCD(984, 328) = 322752 / 984

GCD(984, 328) = 328

Step2:

Here we consider the GCD from the above i.e. 328 as first number and the next as 59

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

LCM(328, 59) = 19352

GCD(328, 59) = ( 328 x 59 ) / 19352

GCD(328, 59) = 19352 / 19352

GCD(328, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 984, 328, 59, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 573, 42, 152
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• GCD of 987, 212, 48, 235

1. What is the GCD of 984, 328, 59, 920?

GCD of 984, 328, 59, 920 is 1

2. Where do I get the detailed procedure to find GCD of 984, 328, 59, 920?

You can find a detailed procedure to find GCD of 984, 328, 59, 920 on our page.

3. How to find GCD of 984, 328, 59, 920 on a calculator?

You can find the GCD of 984, 328, 59, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.