GCD of 11, 220, 293, 724 Calculator

Given Input numbers are 11, 220, 293, 724

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

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Divisors of 724

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

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 11, 220, 293, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 220, 293, 724 is 1.

Therefore, GCD of numbers 11, 220, 293, 724 is 1

Given Input Data is 11, 220, 293, 724

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

Prime Factorization of 11 is 11

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 293 is 293

Prime Factorization of 724 is 2 x 2 x 181

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(11, 220) = 220

GCD(11, 220) = ( 11 x 220 ) / 220

GCD(11, 220) = 2420 / 220

GCD(11, 220) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 293

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

LCM(11, 293) = 3223

GCD(11, 293) = ( 11 x 293 ) / 3223

GCD(11, 293) = 3223 / 3223

GCD(11, 293) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 11, 220, 293, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 976, 659, 856
• GCD of 50, 130, 641, 127
• GCD of 46, 246, 520, 986
• GCD of 57, 960, 457, 730
• GCD of 31, 273, 387, 159

1. What is the GCD of 11, 220, 293, 724?

GCD of 11, 220, 293, 724 is 1

2. Where do I get the detailed procedure to find GCD of 11, 220, 293, 724?

You can find a detailed procedure to find GCD of 11, 220, 293, 724 on our page.

3. How to find GCD of 11, 220, 293, 724 on a calculator?

You can find the GCD of 11, 220, 293, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.