GCD of 826, 187, 303, 414 Calculator

Given Input numbers are 826, 187, 303, 414

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

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 826, 187, 303, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 187, 303, 414 is 1.

Therefore, GCD of numbers 826, 187, 303, 414 is 1

Given Input Data is 826, 187, 303, 414

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 187 is 11 x 17

Prime Factorization of 303 is 3 x 101

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(826, 187) = 154462

GCD(826, 187) = ( 826 x 187 ) / 154462

GCD(826, 187) = 154462 / 154462

GCD(826, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 826, 187, 303, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 773, 483, 331
• GCD of 790, 930, 455, 307
• GCD of 315, 692, 242, 646
• GCD of 838, 735, 810, 248
• GCD of 910, 505, 422, 171

1. What is the GCD of 826, 187, 303, 414?

GCD of 826, 187, 303, 414 is 1

2. Where do I get the detailed procedure to find GCD of 826, 187, 303, 414?

You can find a detailed procedure to find GCD of 826, 187, 303, 414 on our page.

3. How to find GCD of 826, 187, 303, 414 on a calculator?

You can find the GCD of 826, 187, 303, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.