GCD of 283, 238, 392, 153 Calculator

Given Input numbers are 283, 238, 392, 153

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

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

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 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 283, 238, 392, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 238, 392, 153 is 1.

Therefore, GCD of numbers 283, 238, 392, 153 is 1

Given Input Data is 283, 238, 392, 153

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

Prime Factorization of 283 is 283

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 153 is 3 x 3 x 17

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(283, 238) = 67354

GCD(283, 238) = ( 283 x 238 ) / 67354

GCD(283, 238) = 67354 / 67354

GCD(283, 238) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 283, 238, 392, 153 is 1

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1. What is the GCD of 283, 238, 392, 153?

GCD of 283, 238, 392, 153 is 1

2. Where do I get the detailed procedure to find GCD of 283, 238, 392, 153?

You can find a detailed procedure to find GCD of 283, 238, 392, 153 on our page.

3. How to find GCD of 283, 238, 392, 153 on a calculator?

You can find the GCD of 283, 238, 392, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.