GCD of 659, 558, 99, 706 Calculator

Given Input numbers are 659, 558, 99, 706

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 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 659, 558, 99, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 558, 99, 706 is 1.

Therefore, GCD of numbers 659, 558, 99, 706 is 1

Given Input Data is 659, 558, 99, 706

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

Prime Factorization of 659 is 659

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 706 is 2 x 353

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, 558) = 367722

GCD(659, 558) = ( 659 x 558 ) / 367722

GCD(659, 558) = 367722 / 367722

GCD(659, 558) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 659, 558, 99, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 799, 70, 846
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• GCD of 249, 231, 66, 547
• GCD of 318, 975, 50, 946
• GCD of 229, 664, 81, 748

1. What is the GCD of 659, 558, 99, 706?

GCD of 659, 558, 99, 706 is 1

2. Where do I get the detailed procedure to find GCD of 659, 558, 99, 706?

You can find a detailed procedure to find GCD of 659, 558, 99, 706 on our page.

3. How to find GCD of 659, 558, 99, 706 on a calculator?

You can find the GCD of 659, 558, 99, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.