GCD of 918, 830, 899, 894 Calculator

Given Input numbers are 918, 830, 899, 894

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 918, 830, 899, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 830, 899, 894 is 1.

Therefore, GCD of numbers 918, 830, 899, 894 is 1

Given Input Data is 918, 830, 899, 894

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 899 is 29 x 31

Prime Factorization of 894 is 2 x 3 x 149

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(918, 830) = 380970

GCD(918, 830) = ( 918 x 830 ) / 380970

GCD(918, 830) = 761940 / 380970

GCD(918, 830) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

GCD of 918, 830, 899, 894 is 1

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1. What is the GCD of 918, 830, 899, 894?

GCD of 918, 830, 899, 894 is 1

2. Where do I get the detailed procedure to find GCD of 918, 830, 899, 894?

You can find a detailed procedure to find GCD of 918, 830, 899, 894 on our page.

3. How to find GCD of 918, 830, 899, 894 on a calculator?

You can find the GCD of 918, 830, 899, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.