GCD of 786, 806, 72, 993 Calculator

Given Input numbers are 786, 806, 72, 993

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 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 786, 806, 72, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 806, 72, 993 is 1.

Therefore, GCD of numbers 786, 806, 72, 993 is 1

Given Input Data is 786, 806, 72, 993

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 806 is 2 x 13 x 31

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 993 is 3 x 331

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, 806) = 316758

GCD(786, 806) = ( 786 x 806 ) / 316758

GCD(786, 806) = 633516 / 316758

GCD(786, 806) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 993

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

LCM(2, 993) = 1986

GCD(2, 993) = ( 2 x 993 ) / 1986

GCD(2, 993) = 1986 / 1986

GCD(2, 993) = 1

GCD of 786, 806, 72, 993 is 1

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• GCD of 848, 767, 82, 828

1. What is the GCD of 786, 806, 72, 993?

GCD of 786, 806, 72, 993 is 1

2. Where do I get the detailed procedure to find GCD of 786, 806, 72, 993?

You can find a detailed procedure to find GCD of 786, 806, 72, 993 on our page.

3. How to find GCD of 786, 806, 72, 993 on a calculator?

You can find the GCD of 786, 806, 72, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.