GCD of 646, 584, 354, 510 Calculator

Given Input numbers are 646, 584, 354, 510

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

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 646, 584, 354, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 584, 354, 510 is 2.

Therefore, GCD of numbers 646, 584, 354, 510 is 2

Given Input Data is 646, 584, 354, 510

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 354 is 2 x 3 x 59

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(646, 584) = 188632

GCD(646, 584) = ( 646 x 584 ) / 188632

GCD(646, 584) = 377264 / 188632

GCD(646, 584) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 354

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

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

GCD(2, 354) = 708 / 354

GCD(2, 354) = 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 646, 584, 354, 510 is 2

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 646, 584, 354, 510?

GCD of 646, 584, 354, 510 is 2

2. Where do I get the detailed procedure to find GCD of 646, 584, 354, 510?

You can find a detailed procedure to find GCD of 646, 584, 354, 510 on our page.

3. How to find GCD of 646, 584, 354, 510 on a calculator?

You can find the GCD of 646, 584, 354, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.