GCD of 229, 161, 763, 441 Calculator

Given Input numbers are 229, 161, 763, 441

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

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 229, 161, 763, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 161, 763, 441 is 1.

Therefore, GCD of numbers 229, 161, 763, 441 is 1

Given Input Data is 229, 161, 763, 441

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

Prime Factorization of 229 is 229

Prime Factorization of 161 is 7 x 23

Prime Factorization of 763 is 7 x 109

Prime Factorization of 441 is 3 x 3 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(229, 161) = 36869

GCD(229, 161) = ( 229 x 161 ) / 36869

GCD(229, 161) = 36869 / 36869

GCD(229, 161) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 229, 161, 763, 441 is 1

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1. What is the GCD of 229, 161, 763, 441?

GCD of 229, 161, 763, 441 is 1

2. Where do I get the detailed procedure to find GCD of 229, 161, 763, 441?

You can find a detailed procedure to find GCD of 229, 161, 763, 441 on our page.

3. How to find GCD of 229, 161, 763, 441 on a calculator?

You can find the GCD of 229, 161, 763, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.