GCD of 678, 230, 10, 900 Calculator

Given Input numbers are 678, 230, 10, 900

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 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 678, 230, 10, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 230, 10, 900 is 2.

Therefore, GCD of numbers 678, 230, 10, 900 is 2

Given Input Data is 678, 230, 10, 900

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 230 is 2 x 5 x 23

Prime Factorization of 10 is 2 x 5

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 230) = 77970

GCD(678, 230) = ( 678 x 230 ) / 77970

GCD(678, 230) = 155940 / 77970

GCD(678, 230) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 900

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

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

GCD(2, 900) = 1800 / 900

GCD(2, 900) = 2

GCD of 678, 230, 10, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 654, 47, 841
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• GCD of 714, 521, 98, 723

1. What is the GCD of 678, 230, 10, 900?

GCD of 678, 230, 10, 900 is 2

2. Where do I get the detailed procedure to find GCD of 678, 230, 10, 900?

You can find a detailed procedure to find GCD of 678, 230, 10, 900 on our page.

3. How to find GCD of 678, 230, 10, 900 on a calculator?

You can find the GCD of 678, 230, 10, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.