GCD of 941, 756, 42, 219 Calculator

Given Input numbers are 941, 756, 42, 219

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

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 941, 756, 42, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 941, 756, 42, 219 is 1.

Therefore, GCD of numbers 941, 756, 42, 219 is 1

Given Input Data is 941, 756, 42, 219

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

Prime Factorization of 941 is 941

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 219 is 3 x 73

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(941, 756) = 711396

GCD(941, 756) = ( 941 x 756 ) / 711396

GCD(941, 756) = 711396 / 711396

GCD(941, 756) = 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 219

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

LCM(1, 219) = 219

GCD(1, 219) = ( 1 x 219 ) / 219

GCD(1, 219) = 219 / 219

GCD(1, 219) = 1

GCD of 941, 756, 42, 219 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 357, 74, 415
• GCD of 386, 359, 16, 193
• GCD of 205, 612, 82, 417
• GCD of 267, 531, 20, 783
• GCD of 592, 852, 13, 450

1. What is the GCD of 941, 756, 42, 219?

GCD of 941, 756, 42, 219 is 1

2. Where do I get the detailed procedure to find GCD of 941, 756, 42, 219?

You can find a detailed procedure to find GCD of 941, 756, 42, 219 on our page.

3. How to find GCD of 941, 756, 42, 219 on a calculator?

You can find the GCD of 941, 756, 42, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.