GCD of 786, 660, 212, 240 Calculator

Given Input numbers are 786, 660, 212, 240

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 786, 660, 212, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 660, 212, 240 is 2.

Therefore, GCD of numbers 786, 660, 212, 240 is 2

Given Input Data is 786, 660, 212, 240

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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(786, 660) = 86460

GCD(786, 660) = ( 786 x 660 ) / 86460

GCD(786, 660) = 518760 / 86460

GCD(786, 660) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 212

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

LCM(6, 212) = 636

GCD(6, 212) = ( 6 x 212 ) / 636

GCD(6, 212) = 1272 / 636

GCD(6, 212) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 240

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

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

GCD(2, 240) = 480 / 240

GCD(2, 240) = 2

GCD of 786, 660, 212, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 536, 358, 351
• GCD of 285, 744, 884, 380
• GCD of 262, 570, 360, 510
• GCD of 988, 321, 693, 681
• GCD of 386, 383, 369, 158

1. What is the GCD of 786, 660, 212, 240?

GCD of 786, 660, 212, 240 is 2

2. Where do I get the detailed procedure to find GCD of 786, 660, 212, 240?

You can find a detailed procedure to find GCD of 786, 660, 212, 240 on our page.

3. How to find GCD of 786, 660, 212, 240 on a calculator?

You can find the GCD of 786, 660, 212, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.