GCD of 795, 120, 95, 364 Calculator

Given Input numbers are 795, 120, 95, 364

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

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 795, 120, 95, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 120, 95, 364 is 1.

Therefore, GCD of numbers 795, 120, 95, 364 is 1

Given Input Data is 795, 120, 95, 364

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

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 95 is 5 x 19

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(795, 120) = 6360

GCD(795, 120) = ( 795 x 120 ) / 6360

GCD(795, 120) = 95400 / 6360

GCD(795, 120) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 95

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

LCM(15, 95) = 285

GCD(15, 95) = ( 15 x 95 ) / 285

GCD(15, 95) = 1425 / 285

GCD(15, 95) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 364

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

LCM(5, 364) = 1820

GCD(5, 364) = ( 5 x 364 ) / 1820

GCD(5, 364) = 1820 / 1820

GCD(5, 364) = 1

GCD of 795, 120, 95, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 714, 80, 172
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1. What is the GCD of 795, 120, 95, 364?

GCD of 795, 120, 95, 364 is 1

2. Where do I get the detailed procedure to find GCD of 795, 120, 95, 364?

You can find a detailed procedure to find GCD of 795, 120, 95, 364 on our page.

3. How to find GCD of 795, 120, 95, 364 on a calculator?

You can find the GCD of 795, 120, 95, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.