GCD of 295, 504, 325, 768 Calculator

Given Input numbers are 295, 504, 325, 768

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

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

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 295, 504, 325, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 504, 325, 768 is 1.

Therefore, GCD of numbers 295, 504, 325, 768 is 1

Given Input Data is 295, 504, 325, 768

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

Prime Factorization of 295 is 5 x 59

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

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(295, 504) = 148680

GCD(295, 504) = ( 295 x 504 ) / 148680

GCD(295, 504) = 148680 / 148680

GCD(295, 504) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 325

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

LCM(1, 325) = 325

GCD(1, 325) = ( 1 x 325 ) / 325

GCD(1, 325) = 325 / 325

GCD(1, 325) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 295, 504, 325, 768 is 1

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1. What is the GCD of 295, 504, 325, 768?

GCD of 295, 504, 325, 768 is 1

2. Where do I get the detailed procedure to find GCD of 295, 504, 325, 768?

You can find a detailed procedure to find GCD of 295, 504, 325, 768 on our page.

3. How to find GCD of 295, 504, 325, 768 on a calculator?

You can find the GCD of 295, 504, 325, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.