GCD of 164, 278, 270, 200 Calculator

Given Input numbers are 164, 278, 270, 200

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 164, 278, 270, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 278, 270, 200 is 2.

Therefore, GCD of numbers 164, 278, 270, 200 is 2

Given Input Data is 164, 278, 270, 200

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 278 is 2 x 139

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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(164, 278) = 22796

GCD(164, 278) = ( 164 x 278 ) / 22796

GCD(164, 278) = 45592 / 22796

GCD(164, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 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 164, 278, 270, 200 is 2

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1. What is the GCD of 164, 278, 270, 200?

GCD of 164, 278, 270, 200 is 2

2. Where do I get the detailed procedure to find GCD of 164, 278, 270, 200?

You can find a detailed procedure to find GCD of 164, 278, 270, 200 on our page.

3. How to find GCD of 164, 278, 270, 200 on a calculator?

You can find the GCD of 164, 278, 270, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.