GCD of 168, 938, 446, 905 Calculator

Given Input numbers are 168, 938, 446, 905

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 168, 938, 446, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 938, 446, 905 is 1.

Therefore, GCD of numbers 168, 938, 446, 905 is 1

Given Input Data is 168, 938, 446, 905

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 446 is 2 x 223

Prime Factorization of 905 is 5 x 181

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(168, 938) = 11256

GCD(168, 938) = ( 168 x 938 ) / 11256

GCD(168, 938) = 157584 / 11256

GCD(168, 938) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 446

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

LCM(14, 446) = 3122

GCD(14, 446) = ( 14 x 446 ) / 3122

GCD(14, 446) = 6244 / 3122

GCD(14, 446) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 905

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

LCM(2, 905) = 1810

GCD(2, 905) = ( 2 x 905 ) / 1810

GCD(2, 905) = 1810 / 1810

GCD(2, 905) = 1

GCD of 168, 938, 446, 905 is 1

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1. What is the GCD of 168, 938, 446, 905?

GCD of 168, 938, 446, 905 is 1

2. Where do I get the detailed procedure to find GCD of 168, 938, 446, 905?

You can find a detailed procedure to find GCD of 168, 938, 446, 905 on our page.

3. How to find GCD of 168, 938, 446, 905 on a calculator?

You can find the GCD of 168, 938, 446, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.