GCD of 180, 936, 108, 766 Calculator

Given Input numbers are 180, 936, 108, 766

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 180, 936, 108, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 936, 108, 766 is 2.

Therefore, GCD of numbers 180, 936, 108, 766 is 2

Given Input Data is 180, 936, 108, 766

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 766 is 2 x 383

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(180, 936) = 4680

GCD(180, 936) = ( 180 x 936 ) / 4680

GCD(180, 936) = 168480 / 4680

GCD(180, 936) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 108

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

LCM(36, 108) = 108

GCD(36, 108) = ( 36 x 108 ) / 108

GCD(36, 108) = 3888 / 108

GCD(36, 108) = 36

Step3:

Here we consider the GCD from the above i.e. 36 as first number and the next as 766

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

LCM(36, 766) = 13788

GCD(36, 766) = ( 36 x 766 ) / 13788

GCD(36, 766) = 27576 / 13788

GCD(36, 766) = 2

GCD of 180, 936, 108, 766 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 347, 652, 451
• GCD of 303, 727, 364, 470
• GCD of 709, 694, 295, 407
• GCD of 130, 418, 176, 507
• GCD of 130, 713, 512, 603

1. What is the GCD of 180, 936, 108, 766?

GCD of 180, 936, 108, 766 is 2

2. Where do I get the detailed procedure to find GCD of 180, 936, 108, 766?

You can find a detailed procedure to find GCD of 180, 936, 108, 766 on our page.

3. How to find GCD of 180, 936, 108, 766 on a calculator?

You can find the GCD of 180, 936, 108, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.