GCD of 804, 650, 846, 690 Calculator

Given Input numbers are 804, 650, 846, 690

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 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 804, 650, 846, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 650, 846, 690 is 2.

Therefore, GCD of numbers 804, 650, 846, 690 is 2

Given Input Data is 804, 650, 846, 690

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 650 is 2 x 5 x 5 x 13

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 690 is 2 x 3 x 5 x 23

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, 650) = 261300

GCD(804, 650) = ( 804 x 650 ) / 261300

GCD(804, 650) = 522600 / 261300

GCD(804, 650) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 846

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

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

GCD(2, 846) = 1692 / 846

GCD(2, 846) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 690

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

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

GCD(2, 690) = 1380 / 690

GCD(2, 690) = 2

GCD of 804, 650, 846, 690 is 2

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1. What is the GCD of 804, 650, 846, 690?

GCD of 804, 650, 846, 690 is 2

2. Where do I get the detailed procedure to find GCD of 804, 650, 846, 690?

You can find a detailed procedure to find GCD of 804, 650, 846, 690 on our page.

3. How to find GCD of 804, 650, 846, 690 on a calculator?

You can find the GCD of 804, 650, 846, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.