GCD of 962, 828, 510 Calculator

Given Input numbers are 962, 828, 510

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

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

Greatest Common Divisior

We found the divisors of 962, 828, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 962, 828, 510 is 2.

Therefore, GCD of numbers 962, 828, 510 is 2

Given Input Data is 962, 828, 510

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

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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

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(962, 828) = 398268

GCD(962, 828) = ( 962 x 828 ) / 398268

GCD(962, 828) = 796536 / 398268

GCD(962, 828) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 510

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

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

GCD(2, 510) = 1020 / 510

GCD(2, 510) = 2

GCD of 962, 828, 510 is 2

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1. What is the GCD of 962, 828, 510?

GCD of 962, 828, 510 is 2

2. Where do I get the detailed procedure to find GCD of 962, 828, 510?

You can find a detailed procedure to find GCD of 962, 828, 510 on our page.

3. How to find GCD of 962, 828, 510 on a calculator?

You can find the GCD of 962, 828, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.