GCD of 724, 102, 590, 851 Calculator

Given Input numbers are 724, 102, 590, 851

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

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Greatest Common Divisior

We found the divisors of 724, 102, 590, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 102, 590, 851 is 1.

Therefore, GCD of numbers 724, 102, 590, 851 is 1

Given Input Data is 724, 102, 590, 851

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 851 is 23 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(724, 102) = 36924

GCD(724, 102) = ( 724 x 102 ) / 36924

GCD(724, 102) = 73848 / 36924

GCD(724, 102) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 590

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

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

GCD(2, 590) = 1180 / 590

GCD(2, 590) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 851

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

LCM(2, 851) = 1702

GCD(2, 851) = ( 2 x 851 ) / 1702

GCD(2, 851) = 1702 / 1702

GCD(2, 851) = 1

GCD of 724, 102, 590, 851 is 1

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1. What is the GCD of 724, 102, 590, 851?

GCD of 724, 102, 590, 851 is 1

2. Where do I get the detailed procedure to find GCD of 724, 102, 590, 851?

You can find a detailed procedure to find GCD of 724, 102, 590, 851 on our page.

3. How to find GCD of 724, 102, 590, 851 on a calculator?

You can find the GCD of 724, 102, 590, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.