GCD of 207, 993, 69, 441 Calculator

Given Input numbers are 207, 993, 69, 441

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 207, 993, 69, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 993, 69, 441 is 3.

Therefore, GCD of numbers 207, 993, 69, 441 is 3

Given Input Data is 207, 993, 69, 441

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 993 is 3 x 331

Prime Factorization of 69 is 3 x 23

Prime Factorization of 441 is 3 x 3 x 7 x 7

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(207, 993) = 68517

GCD(207, 993) = ( 207 x 993 ) / 68517

GCD(207, 993) = 205551 / 68517

GCD(207, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 441

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

LCM(3, 441) = 441

GCD(3, 441) = ( 3 x 441 ) / 441

GCD(3, 441) = 1323 / 441

GCD(3, 441) = 3

GCD of 207, 993, 69, 441 is 3

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1. What is the GCD of 207, 993, 69, 441?

GCD of 207, 993, 69, 441 is 3

2. Where do I get the detailed procedure to find GCD of 207, 993, 69, 441?

You can find a detailed procedure to find GCD of 207, 993, 69, 441 on our page.

3. How to find GCD of 207, 993, 69, 441 on a calculator?

You can find the GCD of 207, 993, 69, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.