GCD of 819, 871, 35, 670 Calculator

Given Input numbers are 819, 871, 35, 670

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 819, 871, 35, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 871, 35, 670 is 1.

Therefore, GCD of numbers 819, 871, 35, 670 is 1

Given Input Data is 819, 871, 35, 670

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 871 is 13 x 67

Prime Factorization of 35 is 5 x 7

Prime Factorization of 670 is 2 x 5 x 67

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(819, 871) = 54873

GCD(819, 871) = ( 819 x 871 ) / 54873

GCD(819, 871) = 713349 / 54873

GCD(819, 871) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 35

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

LCM(13, 35) = 455

GCD(13, 35) = ( 13 x 35 ) / 455

GCD(13, 35) = 455 / 455

GCD(13, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 670

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

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

GCD(1, 670) = 670 / 670

GCD(1, 670) = 1

GCD of 819, 871, 35, 670 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 297, 69, 373
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• GCD of 421, 105, 42, 728

1. What is the GCD of 819, 871, 35, 670?

GCD of 819, 871, 35, 670 is 1

2. Where do I get the detailed procedure to find GCD of 819, 871, 35, 670?

You can find a detailed procedure to find GCD of 819, 871, 35, 670 on our page.

3. How to find GCD of 819, 871, 35, 670 on a calculator?

You can find the GCD of 819, 871, 35, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.