GCD of 565, 339, 693, 295 Calculator

Given Input numbers are 565, 339, 693, 295

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

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 565, 339, 693, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 339, 693, 295 is 1.

Therefore, GCD of numbers 565, 339, 693, 295 is 1

Given Input Data is 565, 339, 693, 295

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 339 is 3 x 113

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

Prime Factorization of 295 is 5 x 59

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(565, 339) = 1695

GCD(565, 339) = ( 565 x 339 ) / 1695

GCD(565, 339) = 191535 / 1695

GCD(565, 339) = 113

Step2:

Here we consider the GCD from the above i.e. 113 as first number and the next as 693

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

LCM(113, 693) = 78309

GCD(113, 693) = ( 113 x 693 ) / 78309

GCD(113, 693) = 78309 / 78309

GCD(113, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 565, 339, 693, 295 is 1

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1. What is the GCD of 565, 339, 693, 295?

GCD of 565, 339, 693, 295 is 1

2. Where do I get the detailed procedure to find GCD of 565, 339, 693, 295?

You can find a detailed procedure to find GCD of 565, 339, 693, 295 on our page.

3. How to find GCD of 565, 339, 693, 295 on a calculator?

You can find the GCD of 565, 339, 693, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.