GCD of 820, 340, 135, 814 Calculator

Given Input numbers are 820, 340, 135, 814

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

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 820, 340, 135, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 340, 135, 814 is 1.

Therefore, GCD of numbers 820, 340, 135, 814 is 1

Given Input Data is 820, 340, 135, 814

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 135 is 3 x 3 x 3 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(820, 340) = 13940

GCD(820, 340) = ( 820 x 340 ) / 13940

GCD(820, 340) = 278800 / 13940

GCD(820, 340) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 135

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

LCM(20, 135) = 540

GCD(20, 135) = ( 20 x 135 ) / 540

GCD(20, 135) = 2700 / 540

GCD(20, 135) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 814

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

LCM(5, 814) = 4070

GCD(5, 814) = ( 5 x 814 ) / 4070

GCD(5, 814) = 4070 / 4070

GCD(5, 814) = 1

GCD of 820, 340, 135, 814 is 1

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1. What is the GCD of 820, 340, 135, 814?

GCD of 820, 340, 135, 814 is 1

2. Where do I get the detailed procedure to find GCD of 820, 340, 135, 814?

You can find a detailed procedure to find GCD of 820, 340, 135, 814 on our page.

3. How to find GCD of 820, 340, 135, 814 on a calculator?

You can find the GCD of 820, 340, 135, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.