GCD of 185, 654, 249, 800 Calculator

Given Input numbers are 185, 654, 249, 800

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

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

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

Greatest Common Divisior

We found the divisors of 185, 654, 249, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 654, 249, 800 is 1.

Therefore, GCD of numbers 185, 654, 249, 800 is 1

Given Input Data is 185, 654, 249, 800

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

Prime Factorization of 185 is 5 x 37

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 249 is 3 x 83

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

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(185, 654) = 120990

GCD(185, 654) = ( 185 x 654 ) / 120990

GCD(185, 654) = 120990 / 120990

GCD(185, 654) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 185, 654, 249, 800 is 1

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• GCD of 136, 905, 688, 104
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1. What is the GCD of 185, 654, 249, 800?

GCD of 185, 654, 249, 800 is 1

2. Where do I get the detailed procedure to find GCD of 185, 654, 249, 800?

You can find a detailed procedure to find GCD of 185, 654, 249, 800 on our page.

3. How to find GCD of 185, 654, 249, 800 on a calculator?

You can find the GCD of 185, 654, 249, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.