GCD of 786, 928, 27, 146 Calculator

Given Input numbers are 786, 928, 27, 146

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 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 786, 928, 27, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 928, 27, 146 is 1.

Therefore, GCD of numbers 786, 928, 27, 146 is 1

Given Input Data is 786, 928, 27, 146

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 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 146 is 2 x 73

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, 928) = 364704

GCD(786, 928) = ( 786 x 928 ) / 364704

GCD(786, 928) = 729408 / 364704

GCD(786, 928) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

GCD of 786, 928, 27, 146 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 126, 659, 44, 777
• GCD of 976, 803, 29, 229
• GCD of 972, 688, 23, 942
• GCD of 736, 753, 36, 525
• GCD of 551, 386, 73, 930

1. What is the GCD of 786, 928, 27, 146?

GCD of 786, 928, 27, 146 is 1

2. Where do I get the detailed procedure to find GCD of 786, 928, 27, 146?

You can find a detailed procedure to find GCD of 786, 928, 27, 146 on our page.

3. How to find GCD of 786, 928, 27, 146 on a calculator?

You can find the GCD of 786, 928, 27, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.