GCD of 330, 840, 52, 156 Calculator

Given Input numbers are 330, 840, 52, 156

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 330, 840, 52, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 840, 52, 156 is 2.

Therefore, GCD of numbers 330, 840, 52, 156 is 2

Given Input Data is 330, 840, 52, 156

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 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 156 is 2 x 2 x 3 x 13

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, 840) = 9240

GCD(330, 840) = ( 330 x 840 ) / 9240

GCD(330, 840) = 277200 / 9240

GCD(330, 840) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 52

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

LCM(30, 52) = 780

GCD(30, 52) = ( 30 x 52 ) / 780

GCD(30, 52) = 1560 / 780

GCD(30, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 156

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

LCM(2, 156) = 156

GCD(2, 156) = ( 2 x 156 ) / 156

GCD(2, 156) = 312 / 156

GCD(2, 156) = 2

GCD of 330, 840, 52, 156 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 868, 79, 373
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• GCD of 568, 245, 66, 897
• GCD of 774, 872, 12, 702
• GCD of 300, 863, 25, 754

1. What is the GCD of 330, 840, 52, 156?

GCD of 330, 840, 52, 156 is 2

2. Where do I get the detailed procedure to find GCD of 330, 840, 52, 156?

You can find a detailed procedure to find GCD of 330, 840, 52, 156 on our page.

3. How to find GCD of 330, 840, 52, 156 on a calculator?

You can find the GCD of 330, 840, 52, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.