GCD of 355, 398, 956, 829 Calculator

Given Input numbers are 355, 398, 956, 829

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 355, 398, 956, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 398, 956, 829 is 1.

Therefore, GCD of numbers 355, 398, 956, 829 is 1

Given Input Data is 355, 398, 956, 829

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 398 is 2 x 199

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 829 is 829

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, 398) = 141290

GCD(355, 398) = ( 355 x 398 ) / 141290

GCD(355, 398) = 141290 / 141290

GCD(355, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 355, 398, 956, 829 is 1

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1. What is the GCD of 355, 398, 956, 829?

GCD of 355, 398, 956, 829 is 1

2. Where do I get the detailed procedure to find GCD of 355, 398, 956, 829?

You can find a detailed procedure to find GCD of 355, 398, 956, 829 on our page.

3. How to find GCD of 355, 398, 956, 829 on a calculator?

You can find the GCD of 355, 398, 956, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.