GCD of 800, 346, 856, 761 Calculator

Given Input numbers are 800, 346, 856, 761

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 800, 346, 856, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 346, 856, 761 is 1.

Therefore, GCD of numbers 800, 346, 856, 761 is 1

Given Input Data is 800, 346, 856, 761

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 346 is 2 x 173

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 761 is 761

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(800, 346) = 138400

GCD(800, 346) = ( 800 x 346 ) / 138400

GCD(800, 346) = 276800 / 138400

GCD(800, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 761

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

LCM(2, 761) = 1522

GCD(2, 761) = ( 2 x 761 ) / 1522

GCD(2, 761) = 1522 / 1522

GCD(2, 761) = 1

GCD of 800, 346, 856, 761 is 1

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1. What is the GCD of 800, 346, 856, 761?

GCD of 800, 346, 856, 761 is 1

2. Where do I get the detailed procedure to find GCD of 800, 346, 856, 761?

You can find a detailed procedure to find GCD of 800, 346, 856, 761 on our page.

3. How to find GCD of 800, 346, 856, 761 on a calculator?

You can find the GCD of 800, 346, 856, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.