GCD of 441, 177, 14, 206 Calculator

Given Input numbers are 441, 177, 14, 206

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

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

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 441, 177, 14, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 177, 14, 206 is 1.

Therefore, GCD of numbers 441, 177, 14, 206 is 1

Given Input Data is 441, 177, 14, 206

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

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

Prime Factorization of 177 is 3 x 59

Prime Factorization of 14 is 2 x 7

Prime Factorization of 206 is 2 x 103

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(441, 177) = 26019

GCD(441, 177) = ( 441 x 177 ) / 26019

GCD(441, 177) = 78057 / 26019

GCD(441, 177) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

GCD of 441, 177, 14, 206 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 552, 51, 973
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• GCD of 436, 365, 47, 213
• GCD of 926, 918, 36, 358

1. What is the GCD of 441, 177, 14, 206?

GCD of 441, 177, 14, 206 is 1

2. Where do I get the detailed procedure to find GCD of 441, 177, 14, 206?

You can find a detailed procedure to find GCD of 441, 177, 14, 206 on our page.

3. How to find GCD of 441, 177, 14, 206 on a calculator?

You can find the GCD of 441, 177, 14, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.