GCD of 768, 510, 84, 852 Calculator

Given Input numbers are 768, 510, 84, 852

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 768, 510, 84, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 510, 84, 852 is 6.

Therefore, GCD of numbers 768, 510, 84, 852 is 6

Given Input Data is 768, 510, 84, 852

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 852 is 2 x 2 x 3 x 71

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(768, 510) = 65280

GCD(768, 510) = ( 768 x 510 ) / 65280

GCD(768, 510) = 391680 / 65280

GCD(768, 510) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 84

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

LCM(6, 84) = 84

GCD(6, 84) = ( 6 x 84 ) / 84

GCD(6, 84) = 504 / 84

GCD(6, 84) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 852

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

LCM(6, 852) = 852

GCD(6, 852) = ( 6 x 852 ) / 852

GCD(6, 852) = 5112 / 852

GCD(6, 852) = 6

GCD of 768, 510, 84, 852 is 6

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• GCD of 527, 666, 64, 609
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• GCD of 921, 916, 37, 463

1. What is the GCD of 768, 510, 84, 852?

GCD of 768, 510, 84, 852 is 6

2. Where do I get the detailed procedure to find GCD of 768, 510, 84, 852?

You can find a detailed procedure to find GCD of 768, 510, 84, 852 on our page.

3. How to find GCD of 768, 510, 84, 852 on a calculator?

You can find the GCD of 768, 510, 84, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.