GCD of 678, 312, 383, 505 Calculator

Given Input numbers are 678, 312, 383, 505

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 678, 312, 383, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 312, 383, 505 is 1.

Therefore, GCD of numbers 678, 312, 383, 505 is 1

Given Input Data is 678, 312, 383, 505

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 383 is 383

Prime Factorization of 505 is 5 x 101

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(678, 312) = 35256

GCD(678, 312) = ( 678 x 312 ) / 35256

GCD(678, 312) = 211536 / 35256

GCD(678, 312) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 383

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

LCM(6, 383) = 2298

GCD(6, 383) = ( 6 x 383 ) / 2298

GCD(6, 383) = 2298 / 2298

GCD(6, 383) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 678, 312, 383, 505 is 1

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1. What is the GCD of 678, 312, 383, 505?

GCD of 678, 312, 383, 505 is 1

2. Where do I get the detailed procedure to find GCD of 678, 312, 383, 505?

You can find a detailed procedure to find GCD of 678, 312, 383, 505 on our page.

3. How to find GCD of 678, 312, 383, 505 on a calculator?

You can find the GCD of 678, 312, 383, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.