GCD of 706, 578, 288, 251 Calculator

Given Input numbers are 706, 578, 288, 251

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

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 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 706, 578, 288, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 578, 288, 251 is 1.

Therefore, GCD of numbers 706, 578, 288, 251 is 1

Given Input Data is 706, 578, 288, 251

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 578 is 2 x 17 x 17

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

Prime Factorization of 251 is 251

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(706, 578) = 204034

GCD(706, 578) = ( 706 x 578 ) / 204034

GCD(706, 578) = 408068 / 204034

GCD(706, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 288

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

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

GCD(2, 288) = 576 / 288

GCD(2, 288) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 251

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

LCM(2, 251) = 502

GCD(2, 251) = ( 2 x 251 ) / 502

GCD(2, 251) = 502 / 502

GCD(2, 251) = 1

GCD of 706, 578, 288, 251 is 1

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1. What is the GCD of 706, 578, 288, 251?

GCD of 706, 578, 288, 251 is 1

2. Where do I get the detailed procedure to find GCD of 706, 578, 288, 251?

You can find a detailed procedure to find GCD of 706, 578, 288, 251 on our page.

3. How to find GCD of 706, 578, 288, 251 on a calculator?

You can find the GCD of 706, 578, 288, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.