GCD of 412, 121, 53, 723 Calculator

Given Input numbers are 412, 121, 53, 723

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

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 53

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

1, 53

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 412, 121, 53, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 121, 53, 723 is 1.

Therefore, GCD of numbers 412, 121, 53, 723 is 1

Given Input Data is 412, 121, 53, 723

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 121 is 11 x 11

Prime Factorization of 53 is 53

Prime Factorization of 723 is 3 x 241

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(412, 121) = 49852

GCD(412, 121) = ( 412 x 121 ) / 49852

GCD(412, 121) = 49852 / 49852

GCD(412, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 412, 121, 53, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 148, 15, 900
• GCD of 668, 885, 54, 506
• GCD of 740, 207, 79, 634
• GCD of 247, 180, 44, 155
• GCD of 284, 844, 54, 331

1. What is the GCD of 412, 121, 53, 723?

GCD of 412, 121, 53, 723 is 1

2. Where do I get the detailed procedure to find GCD of 412, 121, 53, 723?

You can find a detailed procedure to find GCD of 412, 121, 53, 723 on our page.

3. How to find GCD of 412, 121, 53, 723 on a calculator?

You can find the GCD of 412, 121, 53, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.