GCD of 330, 892, 696, 334 Calculator

Given Input numbers are 330, 892, 696, 334

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

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 330, 892, 696, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 892, 696, 334 is 2.

Therefore, GCD of numbers 330, 892, 696, 334 is 2

Given Input Data is 330, 892, 696, 334

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 334 is 2 x 167

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(330, 892) = 147180

GCD(330, 892) = ( 330 x 892 ) / 147180

GCD(330, 892) = 294360 / 147180

GCD(330, 892) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

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

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

GCD of 330, 892, 696, 334 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 431, 393, 187
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• GCD of 332, 598, 805, 221
• GCD of 496, 180, 690, 488

1. What is the GCD of 330, 892, 696, 334?

GCD of 330, 892, 696, 334 is 2

2. Where do I get the detailed procedure to find GCD of 330, 892, 696, 334?

You can find a detailed procedure to find GCD of 330, 892, 696, 334 on our page.

3. How to find GCD of 330, 892, 696, 334 on a calculator?

You can find the GCD of 330, 892, 696, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.