GCD of 659, 155, 628, 898 Calculator

Given Input numbers are 659, 155, 628, 898

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 659, 155, 628, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 155, 628, 898 is 1.

Therefore, GCD of numbers 659, 155, 628, 898 is 1

Given Input Data is 659, 155, 628, 898

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

Prime Factorization of 659 is 659

Prime Factorization of 155 is 5 x 31

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 898 is 2 x 449

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(659, 155) = 102145

GCD(659, 155) = ( 659 x 155 ) / 102145

GCD(659, 155) = 102145 / 102145

GCD(659, 155) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 659, 155, 628, 898 is 1

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1. What is the GCD of 659, 155, 628, 898?

GCD of 659, 155, 628, 898 is 1

2. Where do I get the detailed procedure to find GCD of 659, 155, 628, 898?

You can find a detailed procedure to find GCD of 659, 155, 628, 898 on our page.

3. How to find GCD of 659, 155, 628, 898 on a calculator?

You can find the GCD of 659, 155, 628, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.