GCD of 533, 385, 721, 724 Calculator

Given Input numbers are 533, 385, 721, 724

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

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 721

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

1, 7, 103, 721

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 533, 385, 721, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 385, 721, 724 is 1.

Therefore, GCD of numbers 533, 385, 721, 724 is 1

Given Input Data is 533, 385, 721, 724

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

Prime Factorization of 533 is 13 x 41

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 721 is 7 x 103

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(533, 385) = 205205

GCD(533, 385) = ( 533 x 385 ) / 205205

GCD(533, 385) = 205205 / 205205

GCD(533, 385) = 1

Step2:

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

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 533, 385, 721, 724 is 1

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1. What is the GCD of 533, 385, 721, 724?

GCD of 533, 385, 721, 724 is 1

2. Where do I get the detailed procedure to find GCD of 533, 385, 721, 724?

You can find a detailed procedure to find GCD of 533, 385, 721, 724 on our page.

3. How to find GCD of 533, 385, 721, 724 on a calculator?

You can find the GCD of 533, 385, 721, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.