GCD of 90, 876, 867, 469 Calculator

Given Input numbers are 90, 876, 867, 469

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 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 90, 876, 867, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 876, 867, 469 is 1.

Therefore, GCD of numbers 90, 876, 867, 469 is 1

Given Input Data is 90, 876, 867, 469

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 876 is 2 x 2 x 3 x 73

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 469 is 7 x 67

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, 876) = 13140

GCD(90, 876) = ( 90 x 876 ) / 13140

GCD(90, 876) = 78840 / 13140

GCD(90, 876) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 867

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

LCM(6, 867) = 1734

GCD(6, 867) = ( 6 x 867 ) / 1734

GCD(6, 867) = 5202 / 1734

GCD(6, 867) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 469

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

LCM(3, 469) = 1407

GCD(3, 469) = ( 3 x 469 ) / 1407

GCD(3, 469) = 1407 / 1407

GCD(3, 469) = 1

GCD of 90, 876, 867, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 571, 738, 978
• GCD of 66, 615, 777, 304
• GCD of 73, 157, 727, 383
• GCD of 74, 507, 930, 981
• GCD of 30, 866, 927, 799

1. What is the GCD of 90, 876, 867, 469?

GCD of 90, 876, 867, 469 is 1

2. Where do I get the detailed procedure to find GCD of 90, 876, 867, 469?

You can find a detailed procedure to find GCD of 90, 876, 867, 469 on our page.

3. How to find GCD of 90, 876, 867, 469 on a calculator?

You can find the GCD of 90, 876, 867, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.