GCD of 218, 665, 382, 986 Calculator

Given Input numbers are 218, 665, 382, 986

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

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 218, 665, 382, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 665, 382, 986 is 1.

Therefore, GCD of numbers 218, 665, 382, 986 is 1

Given Input Data is 218, 665, 382, 986

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 382 is 2 x 191

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(218, 665) = 144970

GCD(218, 665) = ( 218 x 665 ) / 144970

GCD(218, 665) = 144970 / 144970

GCD(218, 665) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 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 218, 665, 382, 986 is 1

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1. What is the GCD of 218, 665, 382, 986?

GCD of 218, 665, 382, 986 is 1

2. Where do I get the detailed procedure to find GCD of 218, 665, 382, 986?

You can find a detailed procedure to find GCD of 218, 665, 382, 986 on our page.

3. How to find GCD of 218, 665, 382, 986 on a calculator?

You can find the GCD of 218, 665, 382, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.