GCD of 678, 705, 23, 795 Calculator

Given Input numbers are 678, 705, 23, 795

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 678, 705, 23, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 705, 23, 795 is 1.

Therefore, GCD of numbers 678, 705, 23, 795 is 1

Given Input Data is 678, 705, 23, 795

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 705 is 3 x 5 x 47

Prime Factorization of 23 is 23

Prime Factorization of 795 is 3 x 5 x 53

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, 705) = 159330

GCD(678, 705) = ( 678 x 705 ) / 159330

GCD(678, 705) = 477990 / 159330

GCD(678, 705) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 23

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

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

GCD(3, 23) = 69 / 69

GCD(3, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

GCD of 678, 705, 23, 795 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 219, 46, 355
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• GCD of 704, 125, 24, 773
• GCD of 463, 496, 11, 211
• GCD of 713, 940, 29, 524

1. What is the GCD of 678, 705, 23, 795?

GCD of 678, 705, 23, 795 is 1

2. Where do I get the detailed procedure to find GCD of 678, 705, 23, 795?

You can find a detailed procedure to find GCD of 678, 705, 23, 795 on our page.

3. How to find GCD of 678, 705, 23, 795 on a calculator?

You can find the GCD of 678, 705, 23, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.