GCD of 238, 592, 709, 693 Calculator

Given Input numbers are 238, 592, 709, 693

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 238, 592, 709, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 592, 709, 693 is 1.

Therefore, GCD of numbers 238, 592, 709, 693 is 1

Given Input Data is 238, 592, 709, 693

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 709 is 709

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(238, 592) = 70448

GCD(238, 592) = ( 238 x 592 ) / 70448

GCD(238, 592) = 140896 / 70448

GCD(238, 592) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 709

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

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

GCD(2, 709) = 1418 / 1418

GCD(2, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 238, 592, 709, 693 is 1

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1. What is the GCD of 238, 592, 709, 693?

GCD of 238, 592, 709, 693 is 1

2. Where do I get the detailed procedure to find GCD of 238, 592, 709, 693?

You can find a detailed procedure to find GCD of 238, 592, 709, 693 on our page.

3. How to find GCD of 238, 592, 709, 693 on a calculator?

You can find the GCD of 238, 592, 709, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.