GCD of 365, 109, 75, 879 Calculator

Given Input numbers are 365, 109, 75, 879

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 109

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

1, 109

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Greatest Common Divisior

We found the divisors of 365, 109, 75, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 109, 75, 879 is 1.

Therefore, GCD of numbers 365, 109, 75, 879 is 1

Given Input Data is 365, 109, 75, 879

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 109 is 109

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 879 is 3 x 293

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(365, 109) = 39785

GCD(365, 109) = ( 365 x 109 ) / 39785

GCD(365, 109) = 39785 / 39785

GCD(365, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 879

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

LCM(1, 879) = 879

GCD(1, 879) = ( 1 x 879 ) / 879

GCD(1, 879) = 879 / 879

GCD(1, 879) = 1

GCD of 365, 109, 75, 879 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 898, 45, 779
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• GCD of 790, 830, 63, 346

1. What is the GCD of 365, 109, 75, 879?

GCD of 365, 109, 75, 879 is 1

2. Where do I get the detailed procedure to find GCD of 365, 109, 75, 879?

You can find a detailed procedure to find GCD of 365, 109, 75, 879 on our page.

3. How to find GCD of 365, 109, 75, 879 on a calculator?

You can find the GCD of 365, 109, 75, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.