GCD of 229, 698, 581, 986 Calculator

Given Input numbers are 229, 698, 581, 986

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 229, 698, 581, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 698, 581, 986 is 1.

Therefore, GCD of numbers 229, 698, 581, 986 is 1

Given Input Data is 229, 698, 581, 986

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

Prime Factorization of 229 is 229

Prime Factorization of 698 is 2 x 349

Prime Factorization of 581 is 7 x 83

Prime Factorization of 986 is 2 x 17 x 29

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(229, 698) = 159842

GCD(229, 698) = ( 229 x 698 ) / 159842

GCD(229, 698) = 159842 / 159842

GCD(229, 698) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 581

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

LCM(1, 581) = 581

GCD(1, 581) = ( 1 x 581 ) / 581

GCD(1, 581) = 581 / 581

GCD(1, 581) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 229, 698, 581, 986 is 1

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1. What is the GCD of 229, 698, 581, 986?

GCD of 229, 698, 581, 986 is 1

2. Where do I get the detailed procedure to find GCD of 229, 698, 581, 986?

You can find a detailed procedure to find GCD of 229, 698, 581, 986 on our page.

3. How to find GCD of 229, 698, 581, 986 on a calculator?

You can find the GCD of 229, 698, 581, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.