GCD of 636, 171, 41, 741 Calculator

Given Input numbers are 636, 171, 41, 741

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 636, 171, 41, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 171, 41, 741 is 1.

Therefore, GCD of numbers 636, 171, 41, 741 is 1

Given Input Data is 636, 171, 41, 741

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 41 is 41

Prime Factorization of 741 is 3 x 13 x 19

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(636, 171) = 36252

GCD(636, 171) = ( 636 x 171 ) / 36252

GCD(636, 171) = 108756 / 36252

GCD(636, 171) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

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

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

GCD of 636, 171, 41, 741 is 1

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1. What is the GCD of 636, 171, 41, 741?

GCD of 636, 171, 41, 741 is 1

2. Where do I get the detailed procedure to find GCD of 636, 171, 41, 741?

You can find a detailed procedure to find GCD of 636, 171, 41, 741 on our page.

3. How to find GCD of 636, 171, 41, 741 on a calculator?

You can find the GCD of 636, 171, 41, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.