GCD of 53, 341, 636, 721 Calculator

Given Input numbers are 53, 341, 636, 721

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

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 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 53, 341, 636, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 341, 636, 721 is 1.

Therefore, GCD of numbers 53, 341, 636, 721 is 1

Given Input Data is 53, 341, 636, 721

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

Prime Factorization of 53 is 53

Prime Factorization of 341 is 11 x 31

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

Prime Factorization of 721 is 7 x 103

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(53, 341) = 18073

GCD(53, 341) = ( 53 x 341 ) / 18073

GCD(53, 341) = 18073 / 18073

GCD(53, 341) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 636

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

LCM(1, 636) = 636

GCD(1, 636) = ( 1 x 636 ) / 636

GCD(1, 636) = 636 / 636

GCD(1, 636) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 53, 341, 636, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 342, 809, 584
• GCD of 63, 731, 997, 882
• GCD of 30, 813, 163, 586
• GCD of 38, 118, 325, 319
• GCD of 41, 188, 245, 402

1. What is the GCD of 53, 341, 636, 721?

GCD of 53, 341, 636, 721 is 1

2. Where do I get the detailed procedure to find GCD of 53, 341, 636, 721?

You can find a detailed procedure to find GCD of 53, 341, 636, 721 on our page.

3. How to find GCD of 53, 341, 636, 721 on a calculator?

You can find the GCD of 53, 341, 636, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.