GCD of 889, 598, 460, 901 Calculator

Given Input numbers are 889, 598, 460, 901

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

Divisors of 889

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

1, 7, 127, 889

Divisors of 598

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

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 889, 598, 460, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 598, 460, 901 is 1.

Therefore, GCD of numbers 889, 598, 460, 901 is 1

Given Input Data is 889, 598, 460, 901

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

Prime Factorization of 889 is 7 x 127

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 901 is 17 x 53

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(889, 598) = 531622

GCD(889, 598) = ( 889 x 598 ) / 531622

GCD(889, 598) = 531622 / 531622

GCD(889, 598) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

GCD of 889, 598, 460, 901 is 1

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1. What is the GCD of 889, 598, 460, 901?

GCD of 889, 598, 460, 901 is 1

2. Where do I get the detailed procedure to find GCD of 889, 598, 460, 901?

You can find a detailed procedure to find GCD of 889, 598, 460, 901 on our page.

3. How to find GCD of 889, 598, 460, 901 on a calculator?

You can find the GCD of 889, 598, 460, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.