GCD of 90, 375, 909, 864 Calculator

Given Input numbers are 90, 375, 909, 864

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 90, 375, 909, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 375, 909, 864 is 3.

Therefore, GCD of numbers 90, 375, 909, 864 is 3

Given Input Data is 90, 375, 909, 864

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 375 is 3 x 5 x 5 x 5

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 375) = 2250

GCD(90, 375) = ( 90 x 375 ) / 2250

GCD(90, 375) = 33750 / 2250

GCD(90, 375) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 909

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

LCM(15, 909) = 4545

GCD(15, 909) = ( 15 x 909 ) / 4545

GCD(15, 909) = 13635 / 4545

GCD(15, 909) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 864

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

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

GCD(3, 864) = 2592 / 864

GCD(3, 864) = 3

GCD of 90, 375, 909, 864 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 828, 464, 140
• GCD of 59, 232, 325, 818
• GCD of 41, 717, 349, 908
• GCD of 18, 505, 550, 493
• GCD of 14, 152, 390, 888

1. What is the GCD of 90, 375, 909, 864?

GCD of 90, 375, 909, 864 is 3

2. Where do I get the detailed procedure to find GCD of 90, 375, 909, 864?

You can find a detailed procedure to find GCD of 90, 375, 909, 864 on our page.

3. How to find GCD of 90, 375, 909, 864 on a calculator?

You can find the GCD of 90, 375, 909, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.