GCD of 205, 231, 66, 980 Calculator

Given Input numbers are 205, 231, 66, 980

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

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 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 205, 231, 66, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 231, 66, 980 is 1.

Therefore, GCD of numbers 205, 231, 66, 980 is 1

Given Input Data is 205, 231, 66, 980

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

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(205, 231) = 47355

GCD(205, 231) = ( 205 x 231 ) / 47355

GCD(205, 231) = 47355 / 47355

GCD(205, 231) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 205, 231, 66, 980 is 1

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1. What is the GCD of 205, 231, 66, 980?

GCD of 205, 231, 66, 980 is 1

2. Where do I get the detailed procedure to find GCD of 205, 231, 66, 980?

You can find a detailed procedure to find GCD of 205, 231, 66, 980 on our page.

3. How to find GCD of 205, 231, 66, 980 on a calculator?

You can find the GCD of 205, 231, 66, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.