GCD of 305, 774, 740, 504 Calculator

Given Input numbers are 305, 774, 740, 504

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

Divisors of 305

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

1, 5, 61, 305

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 305, 774, 740, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 774, 740, 504 is 1.

Therefore, GCD of numbers 305, 774, 740, 504 is 1

Given Input Data is 305, 774, 740, 504

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(305, 774) = 236070

GCD(305, 774) = ( 305 x 774 ) / 236070

GCD(305, 774) = 236070 / 236070

GCD(305, 774) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 305, 774, 740, 504 is 1

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1. What is the GCD of 305, 774, 740, 504?

GCD of 305, 774, 740, 504 is 1

2. Where do I get the detailed procedure to find GCD of 305, 774, 740, 504?

You can find a detailed procedure to find GCD of 305, 774, 740, 504 on our page.

3. How to find GCD of 305, 774, 740, 504 on a calculator?

You can find the GCD of 305, 774, 740, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.