GCD of 690, 888, 460, 638 Calculator

Given Input numbers are 690, 888, 460, 638

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 690, 888, 460, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 888, 460, 638 is 2.

Therefore, GCD of numbers 690, 888, 460, 638 is 2

Given Input Data is 690, 888, 460, 638

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 638 is 2 x 11 x 29

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(690, 888) = 102120

GCD(690, 888) = ( 690 x 888 ) / 102120

GCD(690, 888) = 612720 / 102120

GCD(690, 888) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 460

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

LCM(6, 460) = 1380

GCD(6, 460) = ( 6 x 460 ) / 1380

GCD(6, 460) = 2760 / 1380

GCD(6, 460) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 638

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

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

GCD(2, 638) = 1276 / 638

GCD(2, 638) = 2

GCD of 690, 888, 460, 638 is 2

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1. What is the GCD of 690, 888, 460, 638?

GCD of 690, 888, 460, 638 is 2

2. Where do I get the detailed procedure to find GCD of 690, 888, 460, 638?

You can find a detailed procedure to find GCD of 690, 888, 460, 638 on our page.

3. How to find GCD of 690, 888, 460, 638 on a calculator?

You can find the GCD of 690, 888, 460, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.