GCD of 100, 249, 314, 185 Calculator

Given Input numbers are 100, 249, 314, 185

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 249

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

1, 3, 83, 249

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 185

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

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 100, 249, 314, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 249, 314, 185 is 1.

Therefore, GCD of numbers 100, 249, 314, 185 is 1

Given Input Data is 100, 249, 314, 185

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 249 is 3 x 83

Prime Factorization of 314 is 2 x 157

Prime Factorization of 185 is 5 x 37

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(100, 249) = 24900

GCD(100, 249) = ( 100 x 249 ) / 24900

GCD(100, 249) = 24900 / 24900

GCD(100, 249) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1

GCD of 100, 249, 314, 185 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 134, 719, 289
• GCD of 765, 673, 594, 622
• GCD of 575, 920, 485, 561
• GCD of 871, 495, 571, 389
• GCD of 644, 280, 552, 179

1. What is the GCD of 100, 249, 314, 185?

GCD of 100, 249, 314, 185 is 1

2. Where do I get the detailed procedure to find GCD of 100, 249, 314, 185?

You can find a detailed procedure to find GCD of 100, 249, 314, 185 on our page.

3. How to find GCD of 100, 249, 314, 185 on a calculator?

You can find the GCD of 100, 249, 314, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.