GCD of 231, 517, 853, 739 Calculator

Given Input numbers are 231, 517, 853, 739

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 231, 517, 853, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 517, 853, 739 is 1.

Therefore, GCD of numbers 231, 517, 853, 739 is 1

Given Input Data is 231, 517, 853, 739

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 517 is 11 x 47

Prime Factorization of 853 is 853

Prime Factorization of 739 is 739

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(231, 517) = 10857

GCD(231, 517) = ( 231 x 517 ) / 10857

GCD(231, 517) = 119427 / 10857

GCD(231, 517) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 853

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

LCM(11, 853) = 9383

GCD(11, 853) = ( 11 x 853 ) / 9383

GCD(11, 853) = 9383 / 9383

GCD(11, 853) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

GCD of 231, 517, 853, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 901, 833, 226
• GCD of 190, 378, 556, 905
• GCD of 910, 853, 608, 289
• GCD of 140, 976, 764, 674
• GCD of 471, 278, 145, 159

1. What is the GCD of 231, 517, 853, 739?

GCD of 231, 517, 853, 739 is 1

2. Where do I get the detailed procedure to find GCD of 231, 517, 853, 739?

You can find a detailed procedure to find GCD of 231, 517, 853, 739 on our page.

3. How to find GCD of 231, 517, 853, 739 on a calculator?

You can find the GCD of 231, 517, 853, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.