GCD of 200, 372, 78, 428 Calculator

Given Input numbers are 200, 372, 78, 428

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

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 200, 372, 78, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 372, 78, 428 is 2.

Therefore, GCD of numbers 200, 372, 78, 428 is 2

Given Input Data is 200, 372, 78, 428

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

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 428 is 2 x 2 x 107

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(200, 372) = 18600

GCD(200, 372) = ( 200 x 372 ) / 18600

GCD(200, 372) = 74400 / 18600

GCD(200, 372) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 428

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

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

GCD(2, 428) = 856 / 428

GCD(2, 428) = 2

GCD of 200, 372, 78, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 581, 54, 354
• GCD of 478, 998, 31, 692
• GCD of 405, 149, 73, 556
• GCD of 781, 763, 47, 505
• GCD of 178, 692, 52, 973

1. What is the GCD of 200, 372, 78, 428?

GCD of 200, 372, 78, 428 is 2

2. Where do I get the detailed procedure to find GCD of 200, 372, 78, 428?

You can find a detailed procedure to find GCD of 200, 372, 78, 428 on our page.

3. How to find GCD of 200, 372, 78, 428 on a calculator?

You can find the GCD of 200, 372, 78, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.