GCD of 792, 398, 148, 825 Calculator

Given Input numbers are 792, 398, 148, 825

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 792, 398, 148, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 398, 148, 825 is 1.

Therefore, GCD of numbers 792, 398, 148, 825 is 1

Given Input Data is 792, 398, 148, 825

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 398 is 2 x 199

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(792, 398) = 157608

GCD(792, 398) = ( 792 x 398 ) / 157608

GCD(792, 398) = 315216 / 157608

GCD(792, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 148

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

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

GCD(2, 148) = 296 / 148

GCD(2, 148) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

GCD of 792, 398, 148, 825 is 1

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1. What is the GCD of 792, 398, 148, 825?

GCD of 792, 398, 148, 825 is 1

2. Where do I get the detailed procedure to find GCD of 792, 398, 148, 825?

You can find a detailed procedure to find GCD of 792, 398, 148, 825 on our page.

3. How to find GCD of 792, 398, 148, 825 on a calculator?

You can find the GCD of 792, 398, 148, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.