GCD of 42, 211, 736, 419 Calculator

Given Input numbers are 42, 211, 736, 419

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

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 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Greatest Common Divisior

We found the divisors of 42, 211, 736, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 211, 736, 419 is 1.

Therefore, GCD of numbers 42, 211, 736, 419 is 1

Given Input Data is 42, 211, 736, 419

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 211 is 211

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 419 is 419

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(42, 211) = 8862

GCD(42, 211) = ( 42 x 211 ) / 8862

GCD(42, 211) = 8862 / 8862

GCD(42, 211) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 419

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

LCM(1, 419) = 419

GCD(1, 419) = ( 1 x 419 ) / 419

GCD(1, 419) = 419 / 419

GCD(1, 419) = 1

GCD of 42, 211, 736, 419 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 303, 985, 677
• GCD of 81, 549, 905, 208
• GCD of 25, 683, 884, 329
• GCD of 16, 325, 270, 139
• GCD of 18, 142, 792, 950

1. What is the GCD of 42, 211, 736, 419?

GCD of 42, 211, 736, 419 is 1

2. Where do I get the detailed procedure to find GCD of 42, 211, 736, 419?

You can find a detailed procedure to find GCD of 42, 211, 736, 419 on our page.

3. How to find GCD of 42, 211, 736, 419 on a calculator?

You can find the GCD of 42, 211, 736, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.