GCD of 207, 465, 804, 426 Calculator

Given Input numbers are 207, 465, 804, 426

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

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 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 207, 465, 804, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 465, 804, 426 is 3.

Therefore, GCD of numbers 207, 465, 804, 426 is 3

Given Input Data is 207, 465, 804, 426

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

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 465 is 3 x 5 x 31

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

Prime Factorization of 426 is 2 x 3 x 71

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(207, 465) = 32085

GCD(207, 465) = ( 207 x 465 ) / 32085

GCD(207, 465) = 96255 / 32085

GCD(207, 465) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 804

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

LCM(3, 804) = 804

GCD(3, 804) = ( 3 x 804 ) / 804

GCD(3, 804) = 2412 / 804

GCD(3, 804) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 426

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

LCM(3, 426) = 426

GCD(3, 426) = ( 3 x 426 ) / 426

GCD(3, 426) = 1278 / 426

GCD(3, 426) = 3

GCD of 207, 465, 804, 426 is 3

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1. What is the GCD of 207, 465, 804, 426?

GCD of 207, 465, 804, 426 is 3

2. Where do I get the detailed procedure to find GCD of 207, 465, 804, 426?

You can find a detailed procedure to find GCD of 207, 465, 804, 426 on our page.

3. How to find GCD of 207, 465, 804, 426 on a calculator?

You can find the GCD of 207, 465, 804, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.