GCD of 137, 327, 42, 105 Calculator

Given Input numbers are 137, 327, 42, 105

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

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 137, 327, 42, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 327, 42, 105 is 1.

Therefore, GCD of numbers 137, 327, 42, 105 is 1

Given Input Data is 137, 327, 42, 105

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

Prime Factorization of 137 is 137

Prime Factorization of 327 is 3 x 109

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 105 is 3 x 5 x 7

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(137, 327) = 44799

GCD(137, 327) = ( 137 x 327 ) / 44799

GCD(137, 327) = 44799 / 44799

GCD(137, 327) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 137, 327, 42, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 690, 41, 399
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• GCD of 780, 409, 98, 258
• GCD of 232, 800, 81, 941

1. What is the GCD of 137, 327, 42, 105?

GCD of 137, 327, 42, 105 is 1

2. Where do I get the detailed procedure to find GCD of 137, 327, 42, 105?

You can find a detailed procedure to find GCD of 137, 327, 42, 105 on our page.

3. How to find GCD of 137, 327, 42, 105 on a calculator?

You can find the GCD of 137, 327, 42, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.