GCD of 107, 505, 105, 333 Calculator

Given Input numbers are 107, 505, 105, 333

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 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Greatest Common Divisior

We found the divisors of 107, 505, 105, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 505, 105, 333 is 1.

Therefore, GCD of numbers 107, 505, 105, 333 is 1

Given Input Data is 107, 505, 105, 333

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

Prime Factorization of 107 is 107

Prime Factorization of 505 is 5 x 101

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 333 is 3 x 3 x 37

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, 505) = 54035

GCD(107, 505) = ( 107 x 505 ) / 54035

GCD(107, 505) = 54035 / 54035

GCD(107, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 333

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

LCM(1, 333) = 333

GCD(1, 333) = ( 1 x 333 ) / 333

GCD(1, 333) = 333 / 333

GCD(1, 333) = 1

GCD of 107, 505, 105, 333 is 1

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1. What is the GCD of 107, 505, 105, 333?

GCD of 107, 505, 105, 333 is 1

2. Where do I get the detailed procedure to find GCD of 107, 505, 105, 333?

You can find a detailed procedure to find GCD of 107, 505, 105, 333 on our page.

3. How to find GCD of 107, 505, 105, 333 on a calculator?

You can find the GCD of 107, 505, 105, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.