GCD of 510, 358, 356 Calculator

Given Input numbers are 510, 358, 356

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

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 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 510, 358, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 358, 356 is 2.

Therefore, GCD of numbers 510, 358, 356 is 2

Given Input Data is 510, 358, 356

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

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 356 is 2 x 2 x 89

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(510, 358) = 91290

GCD(510, 358) = ( 510 x 358 ) / 91290

GCD(510, 358) = 182580 / 91290

GCD(510, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 356

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

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

GCD(2, 356) = 712 / 356

GCD(2, 356) = 2

GCD of 510, 358, 356 is 2

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1. What is the GCD of 510, 358, 356?

GCD of 510, 358, 356 is 2

2. Where do I get the detailed procedure to find GCD of 510, 358, 356?

You can find a detailed procedure to find GCD of 510, 358, 356 on our page.

3. How to find GCD of 510, 358, 356 on a calculator?

You can find the GCD of 510, 358, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.