GCD of 680, 225, 15, 878 Calculator

Given Input numbers are 680, 225, 15, 878

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 680, 225, 15, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 225, 15, 878 is 1.

Therefore, GCD of numbers 680, 225, 15, 878 is 1

Given Input Data is 680, 225, 15, 878

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 15 is 3 x 5

Prime Factorization of 878 is 2 x 439

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(680, 225) = 30600

GCD(680, 225) = ( 680 x 225 ) / 30600

GCD(680, 225) = 153000 / 30600

GCD(680, 225) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 15

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

LCM(5, 15) = 15

GCD(5, 15) = ( 5 x 15 ) / 15

GCD(5, 15) = 75 / 15

GCD(5, 15) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 878

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

LCM(5, 878) = 4390

GCD(5, 878) = ( 5 x 878 ) / 4390

GCD(5, 878) = 4390 / 4390

GCD(5, 878) = 1

GCD of 680, 225, 15, 878 is 1

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• GCD of 785, 495, 78, 438
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• GCD of 841, 885, 30, 206

1. What is the GCD of 680, 225, 15, 878?

GCD of 680, 225, 15, 878 is 1

2. Where do I get the detailed procedure to find GCD of 680, 225, 15, 878?

You can find a detailed procedure to find GCD of 680, 225, 15, 878 on our page.

3. How to find GCD of 680, 225, 15, 878 on a calculator?

You can find the GCD of 680, 225, 15, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.