GCD of 824, 742, 859 Calculator

Given Input numbers are 824, 742, 859

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Greatest Common Divisior

We found the divisors of 824, 742, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 742, 859 is 1.

Therefore, GCD of numbers 824, 742, 859 is 1

Given Input Data is 824, 742, 859

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 859 is 859

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(824, 742) = 305704

GCD(824, 742) = ( 824 x 742 ) / 305704

GCD(824, 742) = 611408 / 305704

GCD(824, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 859

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

LCM(2, 859) = 1718

GCD(2, 859) = ( 2 x 859 ) / 1718

GCD(2, 859) = 1718 / 1718

GCD(2, 859) = 1

GCD of 824, 742, 859 is 1

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1. What is the GCD of 824, 742, 859?

GCD of 824, 742, 859 is 1

2. Where do I get the detailed procedure to find GCD of 824, 742, 859?

You can find a detailed procedure to find GCD of 824, 742, 859 on our page.

3. How to find GCD of 824, 742, 859 on a calculator?

You can find the GCD of 824, 742, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.