GCD of 265, 573, 998, 269 Calculator

Given Input numbers are 265, 573, 998, 269

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

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 265, 573, 998, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 573, 998, 269 is 1.

Therefore, GCD of numbers 265, 573, 998, 269 is 1

Given Input Data is 265, 573, 998, 269

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

Prime Factorization of 265 is 5 x 53

Prime Factorization of 573 is 3 x 191

Prime Factorization of 998 is 2 x 499

Prime Factorization of 269 is 269

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(265, 573) = 151845

GCD(265, 573) = ( 265 x 573 ) / 151845

GCD(265, 573) = 151845 / 151845

GCD(265, 573) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 265, 573, 998, 269 is 1

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1. What is the GCD of 265, 573, 998, 269?

GCD of 265, 573, 998, 269 is 1

2. Where do I get the detailed procedure to find GCD of 265, 573, 998, 269?

You can find a detailed procedure to find GCD of 265, 573, 998, 269 on our page.

3. How to find GCD of 265, 573, 998, 269 on a calculator?

You can find the GCD of 265, 573, 998, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.