GCD of 332, 650, 756, 510 Calculator

Given Input numbers are 332, 650, 756, 510

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

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 332, 650, 756, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 650, 756, 510 is 2.

Therefore, GCD of numbers 332, 650, 756, 510 is 2

Given Input Data is 332, 650, 756, 510

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

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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(332, 650) = 107900

GCD(332, 650) = ( 332 x 650 ) / 107900

GCD(332, 650) = 215800 / 107900

GCD(332, 650) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

Step3:

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 332, 650, 756, 510 is 2

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1. What is the GCD of 332, 650, 756, 510?

GCD of 332, 650, 756, 510 is 2

2. Where do I get the detailed procedure to find GCD of 332, 650, 756, 510?

You can find a detailed procedure to find GCD of 332, 650, 756, 510 on our page.

3. How to find GCD of 332, 650, 756, 510 on a calculator?

You can find the GCD of 332, 650, 756, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.