GCD of 912, 814, 361, 634 Calculator

Given Input numbers are 912, 814, 361, 634

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 912, 814, 361, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 814, 361, 634 is 1.

Therefore, GCD of numbers 912, 814, 361, 634 is 1

Given Input Data is 912, 814, 361, 634

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 361 is 19 x 19

Prime Factorization of 634 is 2 x 317

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(912, 814) = 371184

GCD(912, 814) = ( 912 x 814 ) / 371184

GCD(912, 814) = 742368 / 371184

GCD(912, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 361

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

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

GCD(2, 361) = 722 / 722

GCD(2, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 634

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

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

GCD(1, 634) = 634 / 634

GCD(1, 634) = 1

GCD of 912, 814, 361, 634 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 801, 612, 845
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• GCD of 635, 337, 818, 199
• GCD of 468, 192, 127, 609

1. What is the GCD of 912, 814, 361, 634?

GCD of 912, 814, 361, 634 is 1

2. Where do I get the detailed procedure to find GCD of 912, 814, 361, 634?

You can find a detailed procedure to find GCD of 912, 814, 361, 634 on our page.

3. How to find GCD of 912, 814, 361, 634 on a calculator?

You can find the GCD of 912, 814, 361, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.