GCD of 37, 363, 428, 541 Calculator

Given Input numbers are 37, 363, 428, 541

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Greatest Common Divisior

We found the divisors of 37, 363, 428, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 363, 428, 541 is 1.

Therefore, GCD of numbers 37, 363, 428, 541 is 1

Given Input Data is 37, 363, 428, 541

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

Prime Factorization of 37 is 37

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 541 is 541

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(37, 363) = 13431

GCD(37, 363) = ( 37 x 363 ) / 13431

GCD(37, 363) = 13431 / 13431

GCD(37, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 541

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

LCM(1, 541) = 541

GCD(1, 541) = ( 1 x 541 ) / 541

GCD(1, 541) = 541 / 541

GCD(1, 541) = 1

GCD of 37, 363, 428, 541 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 897, 326, 846
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• GCD of 21, 410, 490, 912

1. What is the GCD of 37, 363, 428, 541?

GCD of 37, 363, 428, 541 is 1

2. Where do I get the detailed procedure to find GCD of 37, 363, 428, 541?

You can find a detailed procedure to find GCD of 37, 363, 428, 541 on our page.

3. How to find GCD of 37, 363, 428, 541 on a calculator?

You can find the GCD of 37, 363, 428, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.