GCD of 814, 736, 92, 365 Calculator

Given Input numbers are 814, 736, 92, 365

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

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 814, 736, 92, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 736, 92, 365 is 1.

Therefore, GCD of numbers 814, 736, 92, 365 is 1

Given Input Data is 814, 736, 92, 365

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 365 is 5 x 73

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(814, 736) = 299552

GCD(814, 736) = ( 814 x 736 ) / 299552

GCD(814, 736) = 599104 / 299552

GCD(814, 736) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 365

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

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

GCD(2, 365) = 730 / 730

GCD(2, 365) = 1

GCD of 814, 736, 92, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 215, 66, 592
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1. What is the GCD of 814, 736, 92, 365?

GCD of 814, 736, 92, 365 is 1

2. Where do I get the detailed procedure to find GCD of 814, 736, 92, 365?

You can find a detailed procedure to find GCD of 814, 736, 92, 365 on our page.

3. How to find GCD of 814, 736, 92, 365 on a calculator?

You can find the GCD of 814, 736, 92, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.