GCD of 809, 267, 340, 734 Calculator

Given Input numbers are 809, 267, 340, 734

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 809, 267, 340, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 267, 340, 734 is 1.

Therefore, GCD of numbers 809, 267, 340, 734 is 1

Given Input Data is 809, 267, 340, 734

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

Prime Factorization of 809 is 809

Prime Factorization of 267 is 3 x 89

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

Prime Factorization of 734 is 2 x 367

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(809, 267) = 216003

GCD(809, 267) = ( 809 x 267 ) / 216003

GCD(809, 267) = 216003 / 216003

GCD(809, 267) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 809, 267, 340, 734 is 1

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1. What is the GCD of 809, 267, 340, 734?

GCD of 809, 267, 340, 734 is 1

2. Where do I get the detailed procedure to find GCD of 809, 267, 340, 734?

You can find a detailed procedure to find GCD of 809, 267, 340, 734 on our page.

3. How to find GCD of 809, 267, 340, 734 on a calculator?

You can find the GCD of 809, 267, 340, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.