GCD of 510, 842, 42, 804 Calculator

Given Input numbers are 510, 842, 42, 804

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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

Greatest Common Divisior

We found the divisors of 510, 842, 42, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 842, 42, 804 is 2.

Therefore, GCD of numbers 510, 842, 42, 804 is 2

Given Input Data is 510, 842, 42, 804

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 842 is 2 x 421

Prime Factorization of 42 is 2 x 3 x 7

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

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(510, 842) = 214710

GCD(510, 842) = ( 510 x 842 ) / 214710

GCD(510, 842) = 429420 / 214710

GCD(510, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 804

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

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

GCD(2, 804) = 1608 / 804

GCD(2, 804) = 2

GCD of 510, 842, 42, 804 is 2

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• GCD of 831, 544, 43, 148
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1. What is the GCD of 510, 842, 42, 804?

GCD of 510, 842, 42, 804 is 2

2. Where do I get the detailed procedure to find GCD of 510, 842, 42, 804?

You can find a detailed procedure to find GCD of 510, 842, 42, 804 on our page.

3. How to find GCD of 510, 842, 42, 804 on a calculator?

You can find the GCD of 510, 842, 42, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.