GCD of 574, 658, 498, 889 Calculator

Given Input numbers are 574, 658, 498, 889

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 889

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

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 574, 658, 498, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 658, 498, 889 is 1.

Therefore, GCD of numbers 574, 658, 498, 889 is 1

Given Input Data is 574, 658, 498, 889

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 889 is 7 x 127

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(574, 658) = 26978

GCD(574, 658) = ( 574 x 658 ) / 26978

GCD(574, 658) = 377692 / 26978

GCD(574, 658) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 498

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

LCM(14, 498) = 3486

GCD(14, 498) = ( 14 x 498 ) / 3486

GCD(14, 498) = 6972 / 3486

GCD(14, 498) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 889

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

LCM(2, 889) = 1778

GCD(2, 889) = ( 2 x 889 ) / 1778

GCD(2, 889) = 1778 / 1778

GCD(2, 889) = 1

GCD of 574, 658, 498, 889 is 1

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1. What is the GCD of 574, 658, 498, 889?

GCD of 574, 658, 498, 889 is 1

2. Where do I get the detailed procedure to find GCD of 574, 658, 498, 889?

You can find a detailed procedure to find GCD of 574, 658, 498, 889 on our page.

3. How to find GCD of 574, 658, 498, 889 on a calculator?

You can find the GCD of 574, 658, 498, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.