GCD of 213, 724, 121, 111 Calculator

Given Input numbers are 213, 724, 121, 111

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 121

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

1, 11, 121

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 213, 724, 121, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 724, 121, 111 is 1.

Therefore, GCD of numbers 213, 724, 121, 111 is 1

Given Input Data is 213, 724, 121, 111

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 121 is 11 x 11

Prime Factorization of 111 is 3 x 37

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(213, 724) = 154212

GCD(213, 724) = ( 213 x 724 ) / 154212

GCD(213, 724) = 154212 / 154212

GCD(213, 724) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

GCD of 213, 724, 121, 111 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 547, 913, 694
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• GCD of 314, 919, 652, 812

1. What is the GCD of 213, 724, 121, 111?

GCD of 213, 724, 121, 111 is 1

2. Where do I get the detailed procedure to find GCD of 213, 724, 121, 111?

You can find a detailed procedure to find GCD of 213, 724, 121, 111 on our page.

3. How to find GCD of 213, 724, 121, 111 on a calculator?

You can find the GCD of 213, 724, 121, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.