GCD of 804, 500, 126, 764 Calculator

Given Input numbers are 804, 500, 126, 764

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

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 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 804, 500, 126, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 500, 126, 764 is 2.

Therefore, GCD of numbers 804, 500, 126, 764 is 2

Given Input Data is 804, 500, 126, 764

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

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 764 is 2 x 2 x 191

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(804, 500) = 100500

GCD(804, 500) = ( 804 x 500 ) / 100500

GCD(804, 500) = 402000 / 100500

GCD(804, 500) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 126

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

LCM(4, 126) = 252

GCD(4, 126) = ( 4 x 126 ) / 252

GCD(4, 126) = 504 / 252

GCD(4, 126) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 764

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

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

GCD(2, 764) = 1528 / 764

GCD(2, 764) = 2

GCD of 804, 500, 126, 764 is 2

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1. What is the GCD of 804, 500, 126, 764?

GCD of 804, 500, 126, 764 is 2

2. Where do I get the detailed procedure to find GCD of 804, 500, 126, 764?

You can find a detailed procedure to find GCD of 804, 500, 126, 764 on our page.

3. How to find GCD of 804, 500, 126, 764 on a calculator?

You can find the GCD of 804, 500, 126, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.