GCD of 789, 882, 45, 856 Calculator

Given Input numbers are 789, 882, 45, 856

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

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 856

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

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

Greatest Common Divisior

We found the divisors of 789, 882, 45, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 882, 45, 856 is 1.

Therefore, GCD of numbers 789, 882, 45, 856 is 1

Given Input Data is 789, 882, 45, 856

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 45 is 3 x 3 x 5

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

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(789, 882) = 231966

GCD(789, 882) = ( 789 x 882 ) / 231966

GCD(789, 882) = 695898 / 231966

GCD(789, 882) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 45

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

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

GCD(3, 45) = 135 / 45

GCD(3, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 856

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

LCM(3, 856) = 2568

GCD(3, 856) = ( 3 x 856 ) / 2568

GCD(3, 856) = 2568 / 2568

GCD(3, 856) = 1

GCD of 789, 882, 45, 856 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 169, 44, 382
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• GCD of 667, 436, 45, 428
• GCD of 583, 102, 43, 128
• GCD of 721, 382, 24, 510

1. What is the GCD of 789, 882, 45, 856?

GCD of 789, 882, 45, 856 is 1

2. Where do I get the detailed procedure to find GCD of 789, 882, 45, 856?

You can find a detailed procedure to find GCD of 789, 882, 45, 856 on our page.

3. How to find GCD of 789, 882, 45, 856 on a calculator?

You can find the GCD of 789, 882, 45, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.