GCD of 890, 940, 86, 810 Calculator

Given Input numbers are 890, 940, 86, 810

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 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Greatest Common Divisior

We found the divisors of 890, 940, 86, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 940, 86, 810 is 2.

Therefore, GCD of numbers 890, 940, 86, 810 is 2

Given Input Data is 890, 940, 86, 810

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 940 is 2 x 2 x 5 x 47

Prime Factorization of 86 is 2 x 43

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 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(890, 940) = 83660

GCD(890, 940) = ( 890 x 940 ) / 83660

GCD(890, 940) = 836600 / 83660

GCD(890, 940) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 86

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

LCM(10, 86) = 430

GCD(10, 86) = ( 10 x 86 ) / 430

GCD(10, 86) = 860 / 430

GCD(10, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 810

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

LCM(2, 810) = 810

GCD(2, 810) = ( 2 x 810 ) / 810

GCD(2, 810) = 1620 / 810

GCD(2, 810) = 2

GCD of 890, 940, 86, 810 is 2

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1. What is the GCD of 890, 940, 86, 810?

GCD of 890, 940, 86, 810 is 2

2. Where do I get the detailed procedure to find GCD of 890, 940, 86, 810?

You can find a detailed procedure to find GCD of 890, 940, 86, 810 on our page.

3. How to find GCD of 890, 940, 86, 810 on a calculator?

You can find the GCD of 890, 940, 86, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.