GCD of 113, 714, 327, 412 Calculator

Given Input numbers are 113, 714, 327, 412

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 113, 714, 327, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 714, 327, 412 is 1.

Therefore, GCD of numbers 113, 714, 327, 412 is 1

Given Input Data is 113, 714, 327, 412

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

Prime Factorization of 113 is 113

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 327 is 3 x 109

Prime Factorization of 412 is 2 x 2 x 103

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(113, 714) = 80682

GCD(113, 714) = ( 113 x 714 ) / 80682

GCD(113, 714) = 80682 / 80682

GCD(113, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 327

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

LCM(1, 327) = 327

GCD(1, 327) = ( 1 x 327 ) / 327

GCD(1, 327) = 327 / 327

GCD(1, 327) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 113, 714, 327, 412 is 1

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• GCD of 449, 802, 642, 664
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1. What is the GCD of 113, 714, 327, 412?

GCD of 113, 714, 327, 412 is 1

2. Where do I get the detailed procedure to find GCD of 113, 714, 327, 412?

You can find a detailed procedure to find GCD of 113, 714, 327, 412 on our page.

3. How to find GCD of 113, 714, 327, 412 on a calculator?

You can find the GCD of 113, 714, 327, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.