GCD of 786, 123, 24, 208 Calculator

Given Input numbers are 786, 123, 24, 208

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 786, 123, 24, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 123, 24, 208 is 1.

Therefore, GCD of numbers 786, 123, 24, 208 is 1

Given Input Data is 786, 123, 24, 208

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 123 is 3 x 41

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

The above numbers do not have any common prime factor. So GCD is 1

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, 123) = 32226

GCD(786, 123) = ( 786 x 123 ) / 32226

GCD(786, 123) = 96678 / 32226

GCD(786, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 208

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

LCM(3, 208) = 624

GCD(3, 208) = ( 3 x 208 ) / 624

GCD(3, 208) = 624 / 624

GCD(3, 208) = 1

GCD of 786, 123, 24, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 774, 23, 805
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1. What is the GCD of 786, 123, 24, 208?

GCD of 786, 123, 24, 208 is 1

2. Where do I get the detailed procedure to find GCD of 786, 123, 24, 208?

You can find a detailed procedure to find GCD of 786, 123, 24, 208 on our page.

3. How to find GCD of 786, 123, 24, 208 on a calculator?

You can find the GCD of 786, 123, 24, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.