GCD of 442, 771, 354 Calculator

Given Input numbers are 442, 771, 354

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 354

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

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

Greatest Common Divisior

We found the divisors of 442, 771, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 771, 354 is 1.

Therefore, GCD of numbers 442, 771, 354 is 1

Given Input Data is 442, 771, 354

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 771 is 3 x 257

Prime Factorization of 354 is 2 x 3 x 59

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(442, 771) = 340782

GCD(442, 771) = ( 442 x 771 ) / 340782

GCD(442, 771) = 340782 / 340782

GCD(442, 771) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 442, 771, 354 is 1

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1. What is the GCD of 442, 771, 354?

GCD of 442, 771, 354 is 1

2. Where do I get the detailed procedure to find GCD of 442, 771, 354?

You can find a detailed procedure to find GCD of 442, 771, 354 on our page.

3. How to find GCD of 442, 771, 354 on a calculator?

You can find the GCD of 442, 771, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.