GCD of 786, 396, 867, 105 Calculator

Given Input numbers are 786, 396, 867, 105

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 786, 396, 867, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 396, 867, 105 is 3.

Therefore, GCD of numbers 786, 396, 867, 105 is 3

Given Input Data is 786, 396, 867, 105

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 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 105 is 3 x 5 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 396) = 51876

GCD(786, 396) = ( 786 x 396 ) / 51876

GCD(786, 396) = 311256 / 51876

GCD(786, 396) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 867

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

LCM(6, 867) = 1734

GCD(6, 867) = ( 6 x 867 ) / 1734

GCD(6, 867) = 5202 / 1734

GCD(6, 867) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 105

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

LCM(3, 105) = 105

GCD(3, 105) = ( 3 x 105 ) / 105

GCD(3, 105) = 315 / 105

GCD(3, 105) = 3

GCD of 786, 396, 867, 105 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 571, 618, 187
• GCD of 131, 579, 457, 988
• GCD of 821, 660, 282, 274
• GCD of 682, 695, 138, 921
• GCD of 673, 906, 410, 788

1. What is the GCD of 786, 396, 867, 105?

GCD of 786, 396, 867, 105 is 3

2. Where do I get the detailed procedure to find GCD of 786, 396, 867, 105?

You can find a detailed procedure to find GCD of 786, 396, 867, 105 on our page.

3. How to find GCD of 786, 396, 867, 105 on a calculator?

You can find the GCD of 786, 396, 867, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.