GCD of 990, 865, 827, 410 Calculator

Given Input numbers are 990, 865, 827, 410

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Greatest Common Divisior

We found the divisors of 990, 865, 827, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 865, 827, 410 is 1.

Therefore, GCD of numbers 990, 865, 827, 410 is 1

Given Input Data is 990, 865, 827, 410

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 865 is 5 x 173

Prime Factorization of 827 is 827

Prime Factorization of 410 is 2 x 5 x 41

The above numbers do not have any common prime factor. So GCD is 1

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(990, 865) = 171270

GCD(990, 865) = ( 990 x 865 ) / 171270

GCD(990, 865) = 856350 / 171270

GCD(990, 865) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 827

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

LCM(5, 827) = 4135

GCD(5, 827) = ( 5 x 827 ) / 4135

GCD(5, 827) = 4135 / 4135

GCD(5, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 410

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

LCM(1, 410) = 410

GCD(1, 410) = ( 1 x 410 ) / 410

GCD(1, 410) = 410 / 410

GCD(1, 410) = 1

GCD of 990, 865, 827, 410 is 1

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1. What is the GCD of 990, 865, 827, 410?

GCD of 990, 865, 827, 410 is 1

2. Where do I get the detailed procedure to find GCD of 990, 865, 827, 410?

You can find a detailed procedure to find GCD of 990, 865, 827, 410 on our page.

3. How to find GCD of 990, 865, 827, 410 on a calculator?

You can find the GCD of 990, 865, 827, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.