GCD of 565, 953, 993, 299 Calculator

Given Input numbers are 565, 953, 993, 299

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 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 565, 953, 993, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 953, 993, 299 is 1.

Therefore, GCD of numbers 565, 953, 993, 299 is 1

Given Input Data is 565, 953, 993, 299

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 953 is 953

Prime Factorization of 993 is 3 x 331

Prime Factorization of 299 is 13 x 23

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, 953) = 538445

GCD(565, 953) = ( 565 x 953 ) / 538445

GCD(565, 953) = 538445 / 538445

GCD(565, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 565, 953, 993, 299 is 1

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1. What is the GCD of 565, 953, 993, 299?

GCD of 565, 953, 993, 299 is 1

2. Where do I get the detailed procedure to find GCD of 565, 953, 993, 299?

You can find a detailed procedure to find GCD of 565, 953, 993, 299 on our page.

3. How to find GCD of 565, 953, 993, 299 on a calculator?

You can find the GCD of 565, 953, 993, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.