GCD of 233, 364, 220, 144 Calculator

Given Input numbers are 233, 364, 220, 144

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

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 233, 364, 220, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 233, 364, 220, 144 is 1.

Therefore, GCD of numbers 233, 364, 220, 144 is 1

Given Input Data is 233, 364, 220, 144

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

Prime Factorization of 233 is 233

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(233, 364) = 84812

GCD(233, 364) = ( 233 x 364 ) / 84812

GCD(233, 364) = 84812 / 84812

GCD(233, 364) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 233, 364, 220, 144 is 1

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1. What is the GCD of 233, 364, 220, 144?

GCD of 233, 364, 220, 144 is 1

2. Where do I get the detailed procedure to find GCD of 233, 364, 220, 144?

You can find a detailed procedure to find GCD of 233, 364, 220, 144 on our page.

3. How to find GCD of 233, 364, 220, 144 on a calculator?

You can find the GCD of 233, 364, 220, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.