GCD of 781, 305, 33, 628 Calculator

Given Input numbers are 781, 305, 33, 628

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

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 305

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

1, 5, 61, 305

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 781, 305, 33, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 781, 305, 33, 628 is 1.

Therefore, GCD of numbers 781, 305, 33, 628 is 1

Given Input Data is 781, 305, 33, 628

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

Prime Factorization of 781 is 11 x 71

Prime Factorization of 305 is 5 x 61

Prime Factorization of 33 is 3 x 11

Prime Factorization of 628 is 2 x 2 x 157

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(781, 305) = 238205

GCD(781, 305) = ( 781 x 305 ) / 238205

GCD(781, 305) = 238205 / 238205

GCD(781, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 781, 305, 33, 628 is 1

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1. What is the GCD of 781, 305, 33, 628?

GCD of 781, 305, 33, 628 is 1

2. Where do I get the detailed procedure to find GCD of 781, 305, 33, 628?

You can find a detailed procedure to find GCD of 781, 305, 33, 628 on our page.

3. How to find GCD of 781, 305, 33, 628 on a calculator?

You can find the GCD of 781, 305, 33, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.