GCD of 786, 340, 792, 412 Calculator

Given Input numbers are 786, 340, 792, 412

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 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 786, 340, 792, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 340, 792, 412 is 2.

Therefore, GCD of numbers 786, 340, 792, 412 is 2

Given Input Data is 786, 340, 792, 412

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 340 is 2 x 2 x 5 x 17

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 412 is 2 x 2 x 103

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, 340) = 133620

GCD(786, 340) = ( 786 x 340 ) / 133620

GCD(786, 340) = 267240 / 133620

GCD(786, 340) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 792

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

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

GCD(2, 792) = 1584 / 792

GCD(2, 792) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 412

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

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

GCD(2, 412) = 824 / 412

GCD(2, 412) = 2

GCD of 786, 340, 792, 412 is 2

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1. What is the GCD of 786, 340, 792, 412?

GCD of 786, 340, 792, 412 is 2

2. Where do I get the detailed procedure to find GCD of 786, 340, 792, 412?

You can find a detailed procedure to find GCD of 786, 340, 792, 412 on our page.

3. How to find GCD of 786, 340, 792, 412 on a calculator?

You can find the GCD of 786, 340, 792, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.