GCD of 107, 331, 27, 840 Calculator

Given Input numbers are 107, 331, 27, 840

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 107, 331, 27, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 331, 27, 840 is 1.

Therefore, GCD of numbers 107, 331, 27, 840 is 1

Given Input Data is 107, 331, 27, 840

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

Prime Factorization of 107 is 107

Prime Factorization of 331 is 331

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(107, 331) = 35417

GCD(107, 331) = ( 107 x 331 ) / 35417

GCD(107, 331) = 35417 / 35417

GCD(107, 331) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 107, 331, 27, 840 is 1

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1. What is the GCD of 107, 331, 27, 840?

GCD of 107, 331, 27, 840 is 1

2. Where do I get the detailed procedure to find GCD of 107, 331, 27, 840?

You can find a detailed procedure to find GCD of 107, 331, 27, 840 on our page.

3. How to find GCD of 107, 331, 27, 840 on a calculator?

You can find the GCD of 107, 331, 27, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.