GCD of 25, 660, 430, 678 Calculator

Given Input numbers are 25, 660, 430, 678

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

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 678

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

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

Greatest Common Divisior

We found the divisors of 25, 660, 430, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 660, 430, 678 is 1.

Therefore, GCD of numbers 25, 660, 430, 678 is 1

Given Input Data is 25, 660, 430, 678

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 678 is 2 x 3 x 113

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(25, 660) = 3300

GCD(25, 660) = ( 25 x 660 ) / 3300

GCD(25, 660) = 16500 / 3300

GCD(25, 660) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 430

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

LCM(5, 430) = 430

GCD(5, 430) = ( 5 x 430 ) / 430

GCD(5, 430) = 2150 / 430

GCD(5, 430) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 678

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

LCM(5, 678) = 3390

GCD(5, 678) = ( 5 x 678 ) / 3390

GCD(5, 678) = 3390 / 3390

GCD(5, 678) = 1

GCD of 25, 660, 430, 678 is 1

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• GCD of 25, 230, 556, 765
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1. What is the GCD of 25, 660, 430, 678?

GCD of 25, 660, 430, 678 is 1

2. Where do I get the detailed procedure to find GCD of 25, 660, 430, 678?

You can find a detailed procedure to find GCD of 25, 660, 430, 678 on our page.

3. How to find GCD of 25, 660, 430, 678 on a calculator?

You can find the GCD of 25, 660, 430, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.