GCD of 800, 156, 37, 261 Calculator

Given Input numbers are 800, 156, 37, 261

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 800, 156, 37, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 156, 37, 261 is 1.

Therefore, GCD of numbers 800, 156, 37, 261 is 1

Given Input Data is 800, 156, 37, 261

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 37 is 37

Prime Factorization of 261 is 3 x 3 x 29

The above numbers do not have any common prime factor. So GCD is 1

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(800, 156) = 31200

GCD(800, 156) = ( 800 x 156 ) / 31200

GCD(800, 156) = 124800 / 31200

GCD(800, 156) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 37

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

LCM(4, 37) = 148

GCD(4, 37) = ( 4 x 37 ) / 148

GCD(4, 37) = 148 / 148

GCD(4, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

GCD of 800, 156, 37, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 277, 17, 100
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• GCD of 609, 731, 49, 879

1. What is the GCD of 800, 156, 37, 261?

GCD of 800, 156, 37, 261 is 1

2. Where do I get the detailed procedure to find GCD of 800, 156, 37, 261?

You can find a detailed procedure to find GCD of 800, 156, 37, 261 on our page.

3. How to find GCD of 800, 156, 37, 261 on a calculator?

You can find the GCD of 800, 156, 37, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.