GCD of 90, 114, 885, 827 Calculator

Given Input numbers are 90, 114, 885, 827

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 827

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

1, 827

Greatest Common Divisior

We found the divisors of 90, 114, 885, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 114, 885, 827 is 1.

Therefore, GCD of numbers 90, 114, 885, 827 is 1

Given Input Data is 90, 114, 885, 827

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 827 is 827

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(90, 114) = 1710

GCD(90, 114) = ( 90 x 114 ) / 1710

GCD(90, 114) = 10260 / 1710

GCD(90, 114) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 885

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

LCM(6, 885) = 1770

GCD(6, 885) = ( 6 x 885 ) / 1770

GCD(6, 885) = 5310 / 1770

GCD(6, 885) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 827

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

LCM(3, 827) = 2481

GCD(3, 827) = ( 3 x 827 ) / 2481

GCD(3, 827) = 2481 / 2481

GCD(3, 827) = 1

GCD of 90, 114, 885, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 371, 289, 800
• GCD of 23, 174, 890, 738
• GCD of 74, 640, 263, 723
• GCD of 59, 214, 558, 890
• GCD of 19, 377, 188, 536

1. What is the GCD of 90, 114, 885, 827?

GCD of 90, 114, 885, 827 is 1

2. Where do I get the detailed procedure to find GCD of 90, 114, 885, 827?

You can find a detailed procedure to find GCD of 90, 114, 885, 827 on our page.

3. How to find GCD of 90, 114, 885, 827 on a calculator?

You can find the GCD of 90, 114, 885, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.