GCD of 690, 314, 328, 604 Calculator

Given Input numbers are 690, 314, 328, 604

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

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

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 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 690, 314, 328, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 314, 328, 604 is 2.

Therefore, GCD of numbers 690, 314, 328, 604 is 2

Given Input Data is 690, 314, 328, 604

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

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

Prime Factorization of 314 is 2 x 157

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

Prime Factorization of 604 is 2 x 2 x 151

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(690, 314) = 108330

GCD(690, 314) = ( 690 x 314 ) / 108330

GCD(690, 314) = 216660 / 108330

GCD(690, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 328

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

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

GCD(2, 328) = 656 / 328

GCD(2, 328) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 604

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

LCM(2, 604) = 604

GCD(2, 604) = ( 2 x 604 ) / 604

GCD(2, 604) = 1208 / 604

GCD(2, 604) = 2

GCD of 690, 314, 328, 604 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 526, 453, 836
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• GCD of 416, 664, 954, 378

1. What is the GCD of 690, 314, 328, 604?

GCD of 690, 314, 328, 604 is 2

2. Where do I get the detailed procedure to find GCD of 690, 314, 328, 604?

You can find a detailed procedure to find GCD of 690, 314, 328, 604 on our page.

3. How to find GCD of 690, 314, 328, 604 on a calculator?

You can find the GCD of 690, 314, 328, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.