GCD of 354, 314, 789, 474 Calculator

Given Input numbers are 354, 314, 789, 474

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 354, 314, 789, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 314, 789, 474 is 1.

Therefore, GCD of numbers 354, 314, 789, 474 is 1

Given Input Data is 354, 314, 789, 474

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 314 is 2 x 157

Prime Factorization of 789 is 3 x 263

Prime Factorization of 474 is 2 x 3 x 79

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(354, 314) = 55578

GCD(354, 314) = ( 354 x 314 ) / 55578

GCD(354, 314) = 111156 / 55578

GCD(354, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 789

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

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

GCD(2, 789) = 1578 / 1578

GCD(2, 789) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 354, 314, 789, 474 is 1

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1. What is the GCD of 354, 314, 789, 474?

GCD of 354, 314, 789, 474 is 1

2. Where do I get the detailed procedure to find GCD of 354, 314, 789, 474?

You can find a detailed procedure to find GCD of 354, 314, 789, 474 on our page.

3. How to find GCD of 354, 314, 789, 474 on a calculator?

You can find the GCD of 354, 314, 789, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.