GCD of 238, 288, 141, 773 Calculator

Given Input numbers are 238, 288, 141, 773

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Greatest Common Divisior

We found the divisors of 238, 288, 141, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 288, 141, 773 is 1.

Therefore, GCD of numbers 238, 288, 141, 773 is 1

Given Input Data is 238, 288, 141, 773

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 141 is 3 x 47

Prime Factorization of 773 is 773

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(238, 288) = 34272

GCD(238, 288) = ( 238 x 288 ) / 34272

GCD(238, 288) = 68544 / 34272

GCD(238, 288) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 141

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

LCM(2, 141) = 282

GCD(2, 141) = ( 2 x 141 ) / 282

GCD(2, 141) = 282 / 282

GCD(2, 141) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 773

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

LCM(1, 773) = 773

GCD(1, 773) = ( 1 x 773 ) / 773

GCD(1, 773) = 773 / 773

GCD(1, 773) = 1

GCD of 238, 288, 141, 773 is 1

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1. What is the GCD of 238, 288, 141, 773?

GCD of 238, 288, 141, 773 is 1

2. Where do I get the detailed procedure to find GCD of 238, 288, 141, 773?

You can find a detailed procedure to find GCD of 238, 288, 141, 773 on our page.

3. How to find GCD of 238, 288, 141, 773 on a calculator?

You can find the GCD of 238, 288, 141, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.