GCD of 399, 870, 71, 897 Calculator

Given Input numbers are 399, 870, 71, 897

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 399, 870, 71, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 870, 71, 897 is 1.

Therefore, GCD of numbers 399, 870, 71, 897 is 1

Given Input Data is 399, 870, 71, 897

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 71 is 71

Prime Factorization of 897 is 3 x 13 x 23

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(399, 870) = 115710

GCD(399, 870) = ( 399 x 870 ) / 115710

GCD(399, 870) = 347130 / 115710

GCD(399, 870) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 71

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

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

GCD(3, 71) = 213 / 213

GCD(3, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

GCD of 399, 870, 71, 897 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 181, 22, 626
• GCD of 206, 851, 18, 847
• GCD of 451, 284, 11, 990
• GCD of 954, 170, 19, 390
• GCD of 415, 241, 57, 554

1. What is the GCD of 399, 870, 71, 897?

GCD of 399, 870, 71, 897 is 1

2. Where do I get the detailed procedure to find GCD of 399, 870, 71, 897?

You can find a detailed procedure to find GCD of 399, 870, 71, 897 on our page.

3. How to find GCD of 399, 870, 71, 897 on a calculator?

You can find the GCD of 399, 870, 71, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.