GCD of 107, 290, 165, 111 Calculator

Given Input numbers are 107, 290, 165, 111

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 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 107, 290, 165, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 290, 165, 111 is 1.

Therefore, GCD of numbers 107, 290, 165, 111 is 1

Given Input Data is 107, 290, 165, 111

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

Prime Factorization of 107 is 107

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 111 is 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, 290) = 31030

GCD(107, 290) = ( 107 x 290 ) / 31030

GCD(107, 290) = 31030 / 31030

GCD(107, 290) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

GCD of 107, 290, 165, 111 is 1

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• GCD of 300, 284, 160, 418
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1. What is the GCD of 107, 290, 165, 111?

GCD of 107, 290, 165, 111 is 1

2. Where do I get the detailed procedure to find GCD of 107, 290, 165, 111?

You can find a detailed procedure to find GCD of 107, 290, 165, 111 on our page.

3. How to find GCD of 107, 290, 165, 111 on a calculator?

You can find the GCD of 107, 290, 165, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.