GCD of 337, 993, 90, 920 Calculator

Given Input numbers are 337, 993, 90, 920

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

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 337, 993, 90, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 993, 90, 920 is 1.

Therefore, GCD of numbers 337, 993, 90, 920 is 1

Given Input Data is 337, 993, 90, 920

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

Prime Factorization of 337 is 337

Prime Factorization of 993 is 3 x 331

Prime Factorization of 90 is 2 x 3 x 3 x 5

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(337, 993) = 334641

GCD(337, 993) = ( 337 x 993 ) / 334641

GCD(337, 993) = 334641 / 334641

GCD(337, 993) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 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 337, 993, 90, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 789, 14, 893
• GCD of 191, 101, 61, 339
• GCD of 413, 906, 37, 600
• GCD of 584, 771, 30, 760
• GCD of 487, 567, 56, 901

1. What is the GCD of 337, 993, 90, 920?

GCD of 337, 993, 90, 920 is 1

2. Where do I get the detailed procedure to find GCD of 337, 993, 90, 920?

You can find a detailed procedure to find GCD of 337, 993, 90, 920 on our page.

3. How to find GCD of 337, 993, 90, 920 on a calculator?

You can find the GCD of 337, 993, 90, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.