GCD of 66, 164, 242, 985 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 66, 164, 242, 985 i.e. 1 largest integer that divides all the numbers equally.

GCD of 66, 164, 242, 985 is 1

GCD(66, 164, 242, 985) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 66, 164, 242, 985 is 1

GCD(66, 164, 242, 985) = 1

GCD of 66,164,242,985 Calculator

GCDof 66,164,242,985 is 1

Given Input numbers are 66, 164, 242, 985

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 66, 164, 242, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 164, 242, 985 is 1.

Therefore, GCD of numbers 66, 164, 242, 985 is 1

Finding GCD of 66, 164, 242, 985 using Prime Factorization

Given Input Data is 66, 164, 242, 985

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 985 is 5 x 197

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 66, 164, 242, 985 using LCM Formula

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(66, 164) = 5412

GCD(66, 164) = ( 66 x 164 ) / 5412

GCD(66, 164) = 10824 / 5412

GCD(66, 164) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 242

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

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

GCD(2, 242) = 484 / 242

GCD(2, 242) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 985

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

LCM(2, 985) = 1970

GCD(2, 985) = ( 2 x 985 ) / 1970

GCD(2, 985) = 1970 / 1970

GCD(2, 985) = 1

GCD of 66, 164, 242, 985 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 66, 164, 242, 985

1. What is the GCD of 66, 164, 242, 985?

GCD of 66, 164, 242, 985 is 1


2. Where do I get the detailed procedure to find GCD of 66, 164, 242, 985?

You can find a detailed procedure to find GCD of 66, 164, 242, 985 on our page.


3. How to find GCD of 66, 164, 242, 985 on a calculator?

You can find the GCD of 66, 164, 242, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.