GCD of 933, 261, 126, 207 Calculator

Given Input numbers are 933, 261, 126, 207

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

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Divisors of 261

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

1, 3, 9, 29, 87, 261

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 207

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

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 933, 261, 126, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 933, 261, 126, 207 is 3.

Therefore, GCD of numbers 933, 261, 126, 207 is 3

Given Input Data is 933, 261, 126, 207

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

Prime Factorization of 933 is 3 x 311

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 207 is 3 x 3 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(933, 261) = 81171

GCD(933, 261) = ( 933 x 261 ) / 81171

GCD(933, 261) = 243513 / 81171

GCD(933, 261) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 126

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

LCM(3, 126) = 126

GCD(3, 126) = ( 3 x 126 ) / 126

GCD(3, 126) = 378 / 126

GCD(3, 126) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 207

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

LCM(3, 207) = 207

GCD(3, 207) = ( 3 x 207 ) / 207

GCD(3, 207) = 621 / 207

GCD(3, 207) = 3

GCD of 933, 261, 126, 207 is 3

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1. What is the GCD of 933, 261, 126, 207?

GCD of 933, 261, 126, 207 is 3

2. Where do I get the detailed procedure to find GCD of 933, 261, 126, 207?

You can find a detailed procedure to find GCD of 933, 261, 126, 207 on our page.

3. How to find GCD of 933, 261, 126, 207 on a calculator?

You can find the GCD of 933, 261, 126, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.