GCD of 890, 644, 872, 460 Calculator

Given Input numbers are 890, 644, 872, 460

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

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

Greatest Common Divisior

We found the divisors of 890, 644, 872, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 644, 872, 460 is 2.

Therefore, GCD of numbers 890, 644, 872, 460 is 2

Given Input Data is 890, 644, 872, 460

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 872 is 2 x 2 x 2 x 109

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

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(890, 644) = 286580

GCD(890, 644) = ( 890 x 644 ) / 286580

GCD(890, 644) = 573160 / 286580

GCD(890, 644) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 460

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

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

GCD(2, 460) = 920 / 460

GCD(2, 460) = 2

GCD of 890, 644, 872, 460 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 985, 885, 828
• GCD of 180, 371, 118, 628
• GCD of 892, 429, 466, 367
• GCD of 802, 357, 720, 715
• GCD of 570, 174, 163, 569

1. What is the GCD of 890, 644, 872, 460?

GCD of 890, 644, 872, 460 is 2

2. Where do I get the detailed procedure to find GCD of 890, 644, 872, 460?

You can find a detailed procedure to find GCD of 890, 644, 872, 460 on our page.

3. How to find GCD of 890, 644, 872, 460 on a calculator?

You can find the GCD of 890, 644, 872, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.