GCD of 874, 380, 28, 200 Calculator

Given Input numbers are 874, 380, 28, 200

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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

Greatest Common Divisior

We found the divisors of 874, 380, 28, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 380, 28, 200 is 2.

Therefore, GCD of numbers 874, 380, 28, 200 is 2

Given Input Data is 874, 380, 28, 200

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 28 is 2 x 2 x 7

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

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(874, 380) = 8740

GCD(874, 380) = ( 874 x 380 ) / 8740

GCD(874, 380) = 332120 / 8740

GCD(874, 380) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 28

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

LCM(38, 28) = 532

GCD(38, 28) = ( 38 x 28 ) / 532

GCD(38, 28) = 1064 / 532

GCD(38, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 200

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

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

GCD(2, 200) = 400 / 200

GCD(2, 200) = 2

GCD of 874, 380, 28, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 205, 24, 901
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• GCD of 834, 139, 80, 200
• GCD of 186, 788, 43, 931

1. What is the GCD of 874, 380, 28, 200?

GCD of 874, 380, 28, 200 is 2

2. Where do I get the detailed procedure to find GCD of 874, 380, 28, 200?

You can find a detailed procedure to find GCD of 874, 380, 28, 200 on our page.

3. How to find GCD of 874, 380, 28, 200 on a calculator?

You can find the GCD of 874, 380, 28, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.