GCD of 109, 165, 50, 691 Calculator

Given Input numbers are 109, 165, 50, 691

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

Divisors of 109

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

1, 109

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 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 109, 165, 50, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 165, 50, 691 is 1.

Therefore, GCD of numbers 109, 165, 50, 691 is 1

Given Input Data is 109, 165, 50, 691

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

Prime Factorization of 109 is 109

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 691 is 691

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(109, 165) = 17985

GCD(109, 165) = ( 109 x 165 ) / 17985

GCD(109, 165) = 17985 / 17985

GCD(109, 165) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 109, 165, 50, 691 is 1

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1. What is the GCD of 109, 165, 50, 691?

GCD of 109, 165, 50, 691 is 1

2. Where do I get the detailed procedure to find GCD of 109, 165, 50, 691?

You can find a detailed procedure to find GCD of 109, 165, 50, 691 on our page.

3. How to find GCD of 109, 165, 50, 691 on a calculator?

You can find the GCD of 109, 165, 50, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.