GCD of 178, 764, 518, 200 Calculator

Given Input numbers are 178, 764, 518, 200

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

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 178, 764, 518, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 764, 518, 200 is 2.

Therefore, GCD of numbers 178, 764, 518, 200 is 2

Given Input Data is 178, 764, 518, 200

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 518 is 2 x 7 x 37

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(178, 764) = 67996

GCD(178, 764) = ( 178 x 764 ) / 67996

GCD(178, 764) = 135992 / 67996

GCD(178, 764) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 518

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

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

GCD(2, 518) = 1036 / 518

GCD(2, 518) = 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 178, 764, 518, 200 is 2

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1. What is the GCD of 178, 764, 518, 200?

GCD of 178, 764, 518, 200 is 2

2. Where do I get the detailed procedure to find GCD of 178, 764, 518, 200?

You can find a detailed procedure to find GCD of 178, 764, 518, 200 on our page.

3. How to find GCD of 178, 764, 518, 200 on a calculator?

You can find the GCD of 178, 764, 518, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.