GCD of 527, 889, 605, 398 Calculator

Given Input numbers are 527, 889, 605, 398

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 527, 889, 605, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 889, 605, 398 is 1.

Therefore, GCD of numbers 527, 889, 605, 398 is 1

Given Input Data is 527, 889, 605, 398

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 889 is 7 x 127

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 398 is 2 x 199

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(527, 889) = 468503

GCD(527, 889) = ( 527 x 889 ) / 468503

GCD(527, 889) = 468503 / 468503

GCD(527, 889) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

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

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 527, 889, 605, 398 is 1

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1. What is the GCD of 527, 889, 605, 398?

GCD of 527, 889, 605, 398 is 1

2. Where do I get the detailed procedure to find GCD of 527, 889, 605, 398?

You can find a detailed procedure to find GCD of 527, 889, 605, 398 on our page.

3. How to find GCD of 527, 889, 605, 398 on a calculator?

You can find the GCD of 527, 889, 605, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.