GCD of 790, 744, 78, 993 Calculator

Given Input numbers are 790, 744, 78, 993

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 790, 744, 78, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 744, 78, 993 is 1.

Therefore, GCD of numbers 790, 744, 78, 993 is 1

Given Input Data is 790, 744, 78, 993

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 78 is 2 x 3 x 13

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(790, 744) = 293880

GCD(790, 744) = ( 790 x 744 ) / 293880

GCD(790, 744) = 587760 / 293880

GCD(790, 744) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 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 790, 744, 78, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 167, 78, 804
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• GCD of 251, 198, 44, 397

1. What is the GCD of 790, 744, 78, 993?

GCD of 790, 744, 78, 993 is 1

2. Where do I get the detailed procedure to find GCD of 790, 744, 78, 993?

You can find a detailed procedure to find GCD of 790, 744, 78, 993 on our page.

3. How to find GCD of 790, 744, 78, 993 on a calculator?

You can find the GCD of 790, 744, 78, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.