GCD of 442, 445, 34, 354 Calculator

Given Input numbers are 442, 445, 34, 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 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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, 445, 34, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 445, 34, 354 is 1.

Therefore, GCD of numbers 442, 445, 34, 354 is 1

Given Input Data is 442, 445, 34, 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 445 is 5 x 89

Prime Factorization of 34 is 2 x 17

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, 445) = 196690

GCD(442, 445) = ( 442 x 445 ) / 196690

GCD(442, 445) = 196690 / 196690

GCD(442, 445) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

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, 445, 34, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 887, 714, 85, 598
• GCD of 977, 148, 47, 758
• GCD of 981, 137, 12, 441
• GCD of 328, 370, 28, 843
• GCD of 831, 431, 14, 718

1. What is the GCD of 442, 445, 34, 354?

GCD of 442, 445, 34, 354 is 1

2. Where do I get the detailed procedure to find GCD of 442, 445, 34, 354?

You can find a detailed procedure to find GCD of 442, 445, 34, 354 on our page.

3. How to find GCD of 442, 445, 34, 354 on a calculator?

You can find the GCD of 442, 445, 34, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.