GCD of 964, 510, 342 Calculator

Given Input numbers are 964, 510, 342

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

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 964, 510, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 510, 342 is 2.

Therefore, GCD of numbers 964, 510, 342 is 2

Given Input Data is 964, 510, 342

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

Prime Factorization of 964 is 2 x 2 x 241

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(964, 510) = 245820

GCD(964, 510) = ( 964 x 510 ) / 245820

GCD(964, 510) = 491640 / 245820

GCD(964, 510) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 342

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

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

GCD(2, 342) = 684 / 342

GCD(2, 342) = 2

GCD of 964, 510, 342 is 2

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1. What is the GCD of 964, 510, 342?

GCD of 964, 510, 342 is 2

2. Where do I get the detailed procedure to find GCD of 964, 510, 342?

You can find a detailed procedure to find GCD of 964, 510, 342 on our page.

3. How to find GCD of 964, 510, 342 on a calculator?

You can find the GCD of 964, 510, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.