GCD of 207, 261, 74, 163 Calculator

Given Input numbers are 207, 261, 74, 163

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Greatest Common Divisior

We found the divisors of 207, 261, 74, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 261, 74, 163 is 1.

Therefore, GCD of numbers 207, 261, 74, 163 is 1

Given Input Data is 207, 261, 74, 163

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

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 74 is 2 x 37

Prime Factorization of 163 is 163

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(207, 261) = 6003

GCD(207, 261) = ( 207 x 261 ) / 6003

GCD(207, 261) = 54027 / 6003

GCD(207, 261) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 74

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

LCM(9, 74) = 666

GCD(9, 74) = ( 9 x 74 ) / 666

GCD(9, 74) = 666 / 666

GCD(9, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 163

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

LCM(1, 163) = 163

GCD(1, 163) = ( 1 x 163 ) / 163

GCD(1, 163) = 163 / 163

GCD(1, 163) = 1

GCD of 207, 261, 74, 163 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 109, 43, 686
• GCD of 865, 653, 45, 292
• GCD of 103, 461, 10, 180
• GCD of 480, 275, 47, 591
• GCD of 666, 494, 61, 220

1. What is the GCD of 207, 261, 74, 163?

GCD of 207, 261, 74, 163 is 1

2. Where do I get the detailed procedure to find GCD of 207, 261, 74, 163?

You can find a detailed procedure to find GCD of 207, 261, 74, 163 on our page.

3. How to find GCD of 207, 261, 74, 163 on a calculator?

You can find the GCD of 207, 261, 74, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.