GCD of 315, 396, 857, 706 Calculator

Given Input numbers are 315, 396, 857, 706

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 706

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

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 315, 396, 857, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 396, 857, 706 is 1.

Therefore, GCD of numbers 315, 396, 857, 706 is 1

Given Input Data is 315, 396, 857, 706

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 857 is 857

Prime Factorization of 706 is 2 x 353

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(315, 396) = 13860

GCD(315, 396) = ( 315 x 396 ) / 13860

GCD(315, 396) = 124740 / 13860

GCD(315, 396) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 857

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

LCM(9, 857) = 7713

GCD(9, 857) = ( 9 x 857 ) / 7713

GCD(9, 857) = 7713 / 7713

GCD(9, 857) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 315, 396, 857, 706 is 1

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1. What is the GCD of 315, 396, 857, 706?

GCD of 315, 396, 857, 706 is 1

2. Where do I get the detailed procedure to find GCD of 315, 396, 857, 706?

You can find a detailed procedure to find GCD of 315, 396, 857, 706 on our page.

3. How to find GCD of 315, 396, 857, 706 on a calculator?

You can find the GCD of 315, 396, 857, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.