GCD of 42, 825, 711, 859 Calculator

Given Input numbers are 42, 825, 711, 859

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

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 42, 825, 711, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 825, 711, 859 is 1.

Therefore, GCD of numbers 42, 825, 711, 859 is 1

Given Input Data is 42, 825, 711, 859

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 711 is 3 x 3 x 79

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(42, 825) = 11550

GCD(42, 825) = ( 42 x 825 ) / 11550

GCD(42, 825) = 34650 / 11550

GCD(42, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 711

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

LCM(3, 711) = 711

GCD(3, 711) = ( 3 x 711 ) / 711

GCD(3, 711) = 2133 / 711

GCD(3, 711) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 859

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

LCM(3, 859) = 2577

GCD(3, 859) = ( 3 x 859 ) / 2577

GCD(3, 859) = 2577 / 2577

GCD(3, 859) = 1

GCD of 42, 825, 711, 859 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 649, 334, 316
• GCD of 81, 359, 779, 838
• GCD of 54, 796, 666, 881
• GCD of 56, 375, 380, 952
• GCD of 66, 584, 440, 846

1. What is the GCD of 42, 825, 711, 859?

GCD of 42, 825, 711, 859 is 1

2. Where do I get the detailed procedure to find GCD of 42, 825, 711, 859?

You can find a detailed procedure to find GCD of 42, 825, 711, 859 on our page.

3. How to find GCD of 42, 825, 711, 859 on a calculator?

You can find the GCD of 42, 825, 711, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.