GCD of 894, 714, 328, 690 Calculator

Given Input numbers are 894, 714, 328, 690

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

Divisors of 894

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

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 894, 714, 328, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 714, 328, 690 is 2.

Therefore, GCD of numbers 894, 714, 328, 690 is 2

Given Input Data is 894, 714, 328, 690

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 690 is 2 x 3 x 5 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(894, 714) = 106386

GCD(894, 714) = ( 894 x 714 ) / 106386

GCD(894, 714) = 638316 / 106386

GCD(894, 714) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 328

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

LCM(6, 328) = 984

GCD(6, 328) = ( 6 x 328 ) / 984

GCD(6, 328) = 1968 / 984

GCD(6, 328) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 690

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

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

GCD(2, 690) = 1380 / 690

GCD(2, 690) = 2

GCD of 894, 714, 328, 690 is 2

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1. What is the GCD of 894, 714, 328, 690?

GCD of 894, 714, 328, 690 is 2

2. Where do I get the detailed procedure to find GCD of 894, 714, 328, 690?

You can find a detailed procedure to find GCD of 894, 714, 328, 690 on our page.

3. How to find GCD of 894, 714, 328, 690 on a calculator?

You can find the GCD of 894, 714, 328, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.