GCD of 20, 849, 250, 177 Calculator

Given Input numbers are 20, 849, 250, 177

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 20, 849, 250, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 849, 250, 177 is 1.

Therefore, GCD of numbers 20, 849, 250, 177 is 1

Given Input Data is 20, 849, 250, 177

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 849 is 3 x 283

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 177 is 3 x 59

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(20, 849) = 16980

GCD(20, 849) = ( 20 x 849 ) / 16980

GCD(20, 849) = 16980 / 16980

GCD(20, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 250

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

LCM(1, 250) = 250

GCD(1, 250) = ( 1 x 250 ) / 250

GCD(1, 250) = 250 / 250

GCD(1, 250) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 1

GCD of 20, 849, 250, 177 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 986, 706, 328
• GCD of 26, 502, 981, 299
• GCD of 33, 153, 763, 115
• GCD of 59, 943, 795, 867
• GCD of 47, 455, 195, 412

1. What is the GCD of 20, 849, 250, 177?

GCD of 20, 849, 250, 177 is 1

2. Where do I get the detailed procedure to find GCD of 20, 849, 250, 177?

You can find a detailed procedure to find GCD of 20, 849, 250, 177 on our page.

3. How to find GCD of 20, 849, 250, 177 on a calculator?

You can find the GCD of 20, 849, 250, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.