GCD of 135, 804, 975, 687 Calculator

Given Input numbers are 135, 804, 975, 687

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 135, 804, 975, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 804, 975, 687 is 3.

Therefore, GCD of numbers 135, 804, 975, 687 is 3

Given Input Data is 135, 804, 975, 687

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 687 is 3 x 229

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(135, 804) = 36180

GCD(135, 804) = ( 135 x 804 ) / 36180

GCD(135, 804) = 108540 / 36180

GCD(135, 804) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 975

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

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

GCD(3, 975) = 2925 / 975

GCD(3, 975) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 687

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

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

GCD(3, 687) = 2061 / 687

GCD(3, 687) = 3

GCD of 135, 804, 975, 687 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 287, 314, 836
• GCD of 411, 822, 659, 835
• GCD of 630, 913, 144, 838
• GCD of 587, 742, 884, 133
• GCD of 509, 745, 156, 268

1. What is the GCD of 135, 804, 975, 687?

GCD of 135, 804, 975, 687 is 3

2. Where do I get the detailed procedure to find GCD of 135, 804, 975, 687?

You can find a detailed procedure to find GCD of 135, 804, 975, 687 on our page.

3. How to find GCD of 135, 804, 975, 687 on a calculator?

You can find the GCD of 135, 804, 975, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.