GCD of 795, 955, 685, 355 Calculator

Given Input numbers are 795, 955, 685, 355

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 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 795, 955, 685, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 955, 685, 355 is 5.

Therefore, GCD of numbers 795, 955, 685, 355 is 5

Given Input Data is 795, 955, 685, 355

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 955 is 5 x 191

Prime Factorization of 685 is 5 x 137

Prime Factorization of 355 is 5 x 71

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 955) = 151845

GCD(795, 955) = ( 795 x 955 ) / 151845

GCD(795, 955) = 759225 / 151845

GCD(795, 955) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 685

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

LCM(5, 685) = 685

GCD(5, 685) = ( 5 x 685 ) / 685

GCD(5, 685) = 3425 / 685

GCD(5, 685) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 355

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

LCM(5, 355) = 355

GCD(5, 355) = ( 5 x 355 ) / 355

GCD(5, 355) = 1775 / 355

GCD(5, 355) = 5

GCD of 795, 955, 685, 355 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 298, 979, 426
• GCD of 203, 774, 103, 895
• GCD of 554, 437, 947, 534
• GCD of 757, 395, 704, 921
• GCD of 955, 712, 173, 766

1. What is the GCD of 795, 955, 685, 355?

GCD of 795, 955, 685, 355 is 5

2. Where do I get the detailed procedure to find GCD of 795, 955, 685, 355?

You can find a detailed procedure to find GCD of 795, 955, 685, 355 on our page.

3. How to find GCD of 795, 955, 685, 355 on a calculator?

You can find the GCD of 795, 955, 685, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.