GCD of 802, 367, 40, 814 Calculator

Given Input numbers are 802, 367, 40, 814

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 814

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

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

Greatest Common Divisior

We found the divisors of 802, 367, 40, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 367, 40, 814 is 1.

Therefore, GCD of numbers 802, 367, 40, 814 is 1

Given Input Data is 802, 367, 40, 814

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 367 is 367

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 814 is 2 x 11 x 37

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(802, 367) = 294334

GCD(802, 367) = ( 802 x 367 ) / 294334

GCD(802, 367) = 294334 / 294334

GCD(802, 367) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 802, 367, 40, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 161, 885, 73, 110
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• GCD of 909, 884, 56, 148
• GCD of 841, 610, 56, 274

1. What is the GCD of 802, 367, 40, 814?

GCD of 802, 367, 40, 814 is 1

2. Where do I get the detailed procedure to find GCD of 802, 367, 40, 814?

You can find a detailed procedure to find GCD of 802, 367, 40, 814 on our page.

3. How to find GCD of 802, 367, 40, 814 on a calculator?

You can find the GCD of 802, 367, 40, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.