GCD of 706, 334, 251, 382 Calculator

Given Input numbers are 706, 334, 251, 382

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 251

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

1, 251

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 706, 334, 251, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 334, 251, 382 is 1.

Therefore, GCD of numbers 706, 334, 251, 382 is 1

Given Input Data is 706, 334, 251, 382

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 334 is 2 x 167

Prime Factorization of 251 is 251

Prime Factorization of 382 is 2 x 191

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, 334) = 117902

GCD(706, 334) = ( 706 x 334 ) / 117902

GCD(706, 334) = 235804 / 117902

GCD(706, 334) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 706, 334, 251, 382 is 1

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1. What is the GCD of 706, 334, 251, 382?

GCD of 706, 334, 251, 382 is 1

2. Where do I get the detailed procedure to find GCD of 706, 334, 251, 382?

You can find a detailed procedure to find GCD of 706, 334, 251, 382 on our page.

3. How to find GCD of 706, 334, 251, 382 on a calculator?

You can find the GCD of 706, 334, 251, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.