GCD of 229, 148, 46, 441 Calculator

Given Input numbers are 229, 148, 46, 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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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, 148, 46, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 148, 46, 441 is 1.

Therefore, GCD of numbers 229, 148, 46, 441 is 1

Given Input Data is 229, 148, 46, 441

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

Prime Factorization of 229 is 229

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 46 is 2 x 23

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, 148) = 33892

GCD(229, 148) = ( 229 x 148 ) / 33892

GCD(229, 148) = 33892 / 33892

GCD(229, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 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, 148, 46, 441 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 427, 56, 234
• GCD of 187, 750, 29, 853
• GCD of 543, 467, 27, 509
• GCD of 216, 115, 18, 247
• GCD of 573, 802, 82, 827

1. What is the GCD of 229, 148, 46, 441?

GCD of 229, 148, 46, 441 is 1

2. Where do I get the detailed procedure to find GCD of 229, 148, 46, 441?

You can find a detailed procedure to find GCD of 229, 148, 46, 441 on our page.

3. How to find GCD of 229, 148, 46, 441 on a calculator?

You can find the GCD of 229, 148, 46, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.