GCD of 20, 410, 254, 787 Calculator

Given Input numbers are 20, 410, 254, 787

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 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Greatest Common Divisior

We found the divisors of 20, 410, 254, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 410, 254, 787 is 1.

Therefore, GCD of numbers 20, 410, 254, 787 is 1

Given Input Data is 20, 410, 254, 787

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 410 is 2 x 5 x 41

Prime Factorization of 254 is 2 x 127

Prime Factorization of 787 is 787

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, 410) = 820

GCD(20, 410) = ( 20 x 410 ) / 820

GCD(20, 410) = 8200 / 820

GCD(20, 410) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 254

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

LCM(10, 254) = 1270

GCD(10, 254) = ( 10 x 254 ) / 1270

GCD(10, 254) = 2540 / 1270

GCD(10, 254) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 787

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

LCM(2, 787) = 1574

GCD(2, 787) = ( 2 x 787 ) / 1574

GCD(2, 787) = 1574 / 1574

GCD(2, 787) = 1

GCD of 20, 410, 254, 787 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 946, 186, 284
• GCD of 23, 209, 380, 450
• GCD of 49, 300, 149, 356
• GCD of 34, 549, 995, 406
• GCD of 79, 765, 880, 380

1. What is the GCD of 20, 410, 254, 787?

GCD of 20, 410, 254, 787 is 1

2. Where do I get the detailed procedure to find GCD of 20, 410, 254, 787?

You can find a detailed procedure to find GCD of 20, 410, 254, 787 on our page.

3. How to find GCD of 20, 410, 254, 787 on a calculator?

You can find the GCD of 20, 410, 254, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.