GCD of 890, 100, 82, 310 Calculator

Given Input numbers are 890, 100, 82, 310

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 890, 100, 82, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 100, 82, 310 is 2.

Therefore, GCD of numbers 890, 100, 82, 310 is 2

Given Input Data is 890, 100, 82, 310

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 100 is 2 x 2 x 5 x 5

Prime Factorization of 82 is 2 x 41

Prime Factorization of 310 is 2 x 5 x 31

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, 100) = 8900

GCD(890, 100) = ( 890 x 100 ) / 8900

GCD(890, 100) = 89000 / 8900

GCD(890, 100) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 82

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

LCM(10, 82) = 410

GCD(10, 82) = ( 10 x 82 ) / 410

GCD(10, 82) = 820 / 410

GCD(10, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 310

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

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

GCD(2, 310) = 620 / 310

GCD(2, 310) = 2

GCD of 890, 100, 82, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 102, 78, 993
• GCD of 900, 617, 27, 368
• GCD of 459, 142, 81, 530
• GCD of 197, 787, 51, 682
• GCD of 282, 882, 81, 182

1. What is the GCD of 890, 100, 82, 310?

GCD of 890, 100, 82, 310 is 2

2. Where do I get the detailed procedure to find GCD of 890, 100, 82, 310?

You can find a detailed procedure to find GCD of 890, 100, 82, 310 on our page.

3. How to find GCD of 890, 100, 82, 310 on a calculator?

You can find the GCD of 890, 100, 82, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.