GCD of 106, 427, 674, 442 Calculator

Given Input numbers are 106, 427, 674, 442

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 442

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

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

Greatest Common Divisior

We found the divisors of 106, 427, 674, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 427, 674, 442 is 1.

Therefore, GCD of numbers 106, 427, 674, 442 is 1

Given Input Data is 106, 427, 674, 442

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 427 is 7 x 61

Prime Factorization of 674 is 2 x 337

Prime Factorization of 442 is 2 x 13 x 17

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(106, 427) = 45262

GCD(106, 427) = ( 106 x 427 ) / 45262

GCD(106, 427) = 45262 / 45262

GCD(106, 427) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 106, 427, 674, 442 is 1

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1. What is the GCD of 106, 427, 674, 442?

GCD of 106, 427, 674, 442 is 1

2. Where do I get the detailed procedure to find GCD of 106, 427, 674, 442?

You can find a detailed procedure to find GCD of 106, 427, 674, 442 on our page.

3. How to find GCD of 106, 427, 674, 442 on a calculator?

You can find the GCD of 106, 427, 674, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.