GCD of 250, 198, 91, 820 Calculator

Given Input numbers are 250, 198, 91, 820

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

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 250, 198, 91, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 198, 91, 820 is 1.

Therefore, GCD of numbers 250, 198, 91, 820 is 1

Given Input Data is 250, 198, 91, 820

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

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 91 is 7 x 13

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(250, 198) = 24750

GCD(250, 198) = ( 250 x 198 ) / 24750

GCD(250, 198) = 49500 / 24750

GCD(250, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 250, 198, 91, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 749, 18, 259
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1. What is the GCD of 250, 198, 91, 820?

GCD of 250, 198, 91, 820 is 1

2. Where do I get the detailed procedure to find GCD of 250, 198, 91, 820?

You can find a detailed procedure to find GCD of 250, 198, 91, 820 on our page.

3. How to find GCD of 250, 198, 91, 820 on a calculator?

You can find the GCD of 250, 198, 91, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.