GCD of 855, 420, 109, 291 Calculator

Given Input numbers are 855, 420, 109, 291

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 855, 420, 109, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 420, 109, 291 is 1.

Therefore, GCD of numbers 855, 420, 109, 291 is 1

Given Input Data is 855, 420, 109, 291

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 109 is 109

Prime Factorization of 291 is 3 x 97

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(855, 420) = 23940

GCD(855, 420) = ( 855 x 420 ) / 23940

GCD(855, 420) = 359100 / 23940

GCD(855, 420) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 109

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

LCM(15, 109) = 1635

GCD(15, 109) = ( 15 x 109 ) / 1635

GCD(15, 109) = 1635 / 1635

GCD(15, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

GCD of 855, 420, 109, 291 is 1

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1. What is the GCD of 855, 420, 109, 291?

GCD of 855, 420, 109, 291 is 1

2. Where do I get the detailed procedure to find GCD of 855, 420, 109, 291?

You can find a detailed procedure to find GCD of 855, 420, 109, 291 on our page.

3. How to find GCD of 855, 420, 109, 291 on a calculator?

You can find the GCD of 855, 420, 109, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.