GCD of 930, 490, 40, 810 Calculator

Given Input numbers are 930, 490, 40, 810

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

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 930, 490, 40, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 490, 40, 810 is 10.

Therefore, GCD of numbers 930, 490, 40, 810 is 10

Given Input Data is 930, 490, 40, 810

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

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 40 is 2 x 2 x 2 x 5

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 x 5¹

Multiplying them we get the GCD as 10

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(930, 490) = 45570

GCD(930, 490) = ( 930 x 490 ) / 45570

GCD(930, 490) = 455700 / 45570

GCD(930, 490) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 40

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

LCM(10, 40) = 40

GCD(10, 40) = ( 10 x 40 ) / 40

GCD(10, 40) = 400 / 40

GCD(10, 40) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 810

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

LCM(10, 810) = 810

GCD(10, 810) = ( 10 x 810 ) / 810

GCD(10, 810) = 8100 / 810

GCD(10, 810) = 10

GCD of 930, 490, 40, 810 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 459, 90, 139
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• GCD of 255, 549, 19, 878
• GCD of 184, 532, 55, 576
• GCD of 722, 124, 35, 554

1. What is the GCD of 930, 490, 40, 810?

GCD of 930, 490, 40, 810 is 10

2. Where do I get the detailed procedure to find GCD of 930, 490, 40, 810?

You can find a detailed procedure to find GCD of 930, 490, 40, 810 on our page.

3. How to find GCD of 930, 490, 40, 810 on a calculator?

You can find the GCD of 930, 490, 40, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.