GCD of 378, 200, 797, 859 Calculator

Given Input numbers are 378, 200, 797, 859

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

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 378, 200, 797, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 200, 797, 859 is 1.

Therefore, GCD of numbers 378, 200, 797, 859 is 1

Given Input Data is 378, 200, 797, 859

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 797 is 797

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(378, 200) = 37800

GCD(378, 200) = ( 378 x 200 ) / 37800

GCD(378, 200) = 75600 / 37800

GCD(378, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 797

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

LCM(2, 797) = 1594

GCD(2, 797) = ( 2 x 797 ) / 1594

GCD(2, 797) = 1594 / 1594

GCD(2, 797) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

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

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

GCD of 378, 200, 797, 859 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 497, 540, 419
• GCD of 373, 500, 122, 698
• GCD of 348, 510, 516, 843
• GCD of 245, 438, 615, 997
• GCD of 959, 541, 624, 777

1. What is the GCD of 378, 200, 797, 859?

GCD of 378, 200, 797, 859 is 1

2. Where do I get the detailed procedure to find GCD of 378, 200, 797, 859?

You can find a detailed procedure to find GCD of 378, 200, 797, 859 on our page.

3. How to find GCD of 378, 200, 797, 859 on a calculator?

You can find the GCD of 378, 200, 797, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.