GCD of 795, 705, 897 Calculator

Given Input numbers are 795, 705, 897

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 795, 705, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 705, 897 is 3.

Therefore, GCD of numbers 795, 705, 897 is 3

Given Input Data is 795, 705, 897

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 705 is 3 x 5 x 47

Prime Factorization of 897 is 3 x 13 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 705) = 37365

GCD(795, 705) = ( 795 x 705 ) / 37365

GCD(795, 705) = 560475 / 37365

GCD(795, 705) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 897

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

LCM(15, 897) = 4485

GCD(15, 897) = ( 15 x 897 ) / 4485

GCD(15, 897) = 13455 / 4485

GCD(15, 897) = 3

GCD of 795, 705, 897 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 927, 151
• GCD of 158, 895, 389
• GCD of 669, 910, 131
• GCD of 656, 950, 271
• GCD of 140, 878, 174

1. What is the GCD of 795, 705, 897?

GCD of 795, 705, 897 is 3

2. Where do I get the detailed procedure to find GCD of 795, 705, 897?

You can find a detailed procedure to find GCD of 795, 705, 897 on our page.

3. How to find GCD of 795, 705, 897 on a calculator?

You can find the GCD of 795, 705, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.