GCD of 674, 200, 556 Calculator

Given Input numbers are 674, 200, 556

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

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 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 674, 200, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 200, 556 is 2.

Therefore, GCD of numbers 674, 200, 556 is 2

Given Input Data is 674, 200, 556

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

Prime Factorization of 674 is 2 x 337

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

Prime Factorization of 556 is 2 x 2 x 139

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(674, 200) = 67400

GCD(674, 200) = ( 674 x 200 ) / 67400

GCD(674, 200) = 134800 / 67400

GCD(674, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 556

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

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

GCD(2, 556) = 1112 / 556

GCD(2, 556) = 2

GCD of 674, 200, 556 is 2

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1. What is the GCD of 674, 200, 556?

GCD of 674, 200, 556 is 2

2. Where do I get the detailed procedure to find GCD of 674, 200, 556?

You can find a detailed procedure to find GCD of 674, 200, 556 on our page.

3. How to find GCD of 674, 200, 556 on a calculator?

You can find the GCD of 674, 200, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.