GCD of 355, 764, 994, 440 Calculator

Given Input numbers are 355, 764, 994, 440

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 994

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

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 355, 764, 994, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 764, 994, 440 is 1.

Therefore, GCD of numbers 355, 764, 994, 440 is 1

Given Input Data is 355, 764, 994, 440

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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(355, 764) = 271220

GCD(355, 764) = ( 355 x 764 ) / 271220

GCD(355, 764) = 271220 / 271220

GCD(355, 764) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 355, 764, 994, 440 is 1

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1. What is the GCD of 355, 764, 994, 440?

GCD of 355, 764, 994, 440 is 1

2. Where do I get the detailed procedure to find GCD of 355, 764, 994, 440?

You can find a detailed procedure to find GCD of 355, 764, 994, 440 on our page.

3. How to find GCD of 355, 764, 994, 440 on a calculator?

You can find the GCD of 355, 764, 994, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.