GCD of 385, 900, 644, 994 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 385, 900, 644, 994 i.e. 1 largest integer that divides all the numbers equally.

GCD of 385, 900, 644, 994 is 1

GCD(385, 900, 644, 994) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 385, 900, 644, 994 is 1

GCD(385, 900, 644, 994) = 1

GCD of 385,900,644,994 Calculator

GCDof 385,900,644,994 is 1

Given Input numbers are 385, 900, 644, 994

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

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 385, 900, 644, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 900, 644, 994 is 1.

Therefore, GCD of numbers 385, 900, 644, 994 is 1

Finding GCD of 385, 900, 644, 994 using Prime Factorization

Given Input Data is 385, 900, 644, 994

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

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 994 is 2 x 7 x 71

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 385, 900, 644, 994 using LCM Formula

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(385, 900) = 69300

GCD(385, 900) = ( 385 x 900 ) / 69300

GCD(385, 900) = 346500 / 69300

GCD(385, 900) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 644

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

LCM(5, 644) = 3220

GCD(5, 644) = ( 5 x 644 ) / 3220

GCD(5, 644) = 3220 / 3220

GCD(5, 644) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 385, 900, 644, 994 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 385, 900, 644, 994

1. What is the GCD of 385, 900, 644, 994?

GCD of 385, 900, 644, 994 is 1


2. Where do I get the detailed procedure to find GCD of 385, 900, 644, 994?

You can find a detailed procedure to find GCD of 385, 900, 644, 994 on our page.


3. How to find GCD of 385, 900, 644, 994 on a calculator?

You can find the GCD of 385, 900, 644, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.