GCD of 706, 657, 633, 187 Calculator

Given Input numbers are 706, 657, 633, 187

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 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 706, 657, 633, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 657, 633, 187 is 1.

Therefore, GCD of numbers 706, 657, 633, 187 is 1

Given Input Data is 706, 657, 633, 187

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 633 is 3 x 211

Prime Factorization of 187 is 11 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(706, 657) = 463842

GCD(706, 657) = ( 706 x 657 ) / 463842

GCD(706, 657) = 463842 / 463842

GCD(706, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 1

GCD of 706, 657, 633, 187 is 1

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1. What is the GCD of 706, 657, 633, 187?

GCD of 706, 657, 633, 187 is 1

2. Where do I get the detailed procedure to find GCD of 706, 657, 633, 187?

You can find a detailed procedure to find GCD of 706, 657, 633, 187 on our page.

3. How to find GCD of 706, 657, 633, 187 on a calculator?

You can find the GCD of 706, 657, 633, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.