GCD of 712, 838, 788, 305 Calculator

Given Input numbers are 712, 838, 788, 305

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 712, 838, 788, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 838, 788, 305 is 1.

Therefore, GCD of numbers 712, 838, 788, 305 is 1

Given Input Data is 712, 838, 788, 305

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 838 is 2 x 419

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 305 is 5 x 61

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(712, 838) = 298328

GCD(712, 838) = ( 712 x 838 ) / 298328

GCD(712, 838) = 596656 / 298328

GCD(712, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 305

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

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

GCD(2, 305) = 610 / 610

GCD(2, 305) = 1

GCD of 712, 838, 788, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 318, 218, 408
• GCD of 393, 902, 147, 150
• GCD of 548, 107, 247, 905
• GCD of 900, 667, 519, 952
• GCD of 108, 656, 707, 306

1. What is the GCD of 712, 838, 788, 305?

GCD of 712, 838, 788, 305 is 1

2. Where do I get the detailed procedure to find GCD of 712, 838, 788, 305?

You can find a detailed procedure to find GCD of 712, 838, 788, 305 on our page.

3. How to find GCD of 712, 838, 788, 305 on a calculator?

You can find the GCD of 712, 838, 788, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.