GCD of 355, 764, 947, 404 Calculator

Given Input numbers are 355, 764, 947, 404

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 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 355, 764, 947, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 764, 947, 404 is 1.

Therefore, GCD of numbers 355, 764, 947, 404 is 1

Given Input Data is 355, 764, 947, 404

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 947 is 947

Prime Factorization of 404 is 2 x 2 x 101

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 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 355, 764, 947, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 144, 132, 801
• GCD of 572, 506, 444, 508
• GCD of 958, 139, 176, 332
• GCD of 702, 750, 303, 893
• GCD of 980, 536, 170, 901

1. What is the GCD of 355, 764, 947, 404?

GCD of 355, 764, 947, 404 is 1

2. Where do I get the detailed procedure to find GCD of 355, 764, 947, 404?

You can find a detailed procedure to find GCD of 355, 764, 947, 404 on our page.

3. How to find GCD of 355, 764, 947, 404 on a calculator?

You can find the GCD of 355, 764, 947, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.