GCD of 65, 891, 272, 598 Calculator

Given Input numbers are 65, 891, 272, 598

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 65, 891, 272, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 891, 272, 598 is 1.

Therefore, GCD of numbers 65, 891, 272, 598 is 1

Given Input Data is 65, 891, 272, 598

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 598 is 2 x 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(65, 891) = 57915

GCD(65, 891) = ( 65 x 891 ) / 57915

GCD(65, 891) = 57915 / 57915

GCD(65, 891) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 65, 891, 272, 598 is 1

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1. What is the GCD of 65, 891, 272, 598?

GCD of 65, 891, 272, 598 is 1

2. Where do I get the detailed procedure to find GCD of 65, 891, 272, 598?

You can find a detailed procedure to find GCD of 65, 891, 272, 598 on our page.

3. How to find GCD of 65, 891, 272, 598 on a calculator?

You can find the GCD of 65, 891, 272, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.