GCD of 346, 500, 276, 612 Calculator

Given Input numbers are 346, 500, 276, 612

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 346, 500, 276, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 500, 276, 612 is 2.

Therefore, GCD of numbers 346, 500, 276, 612 is 2

Given Input Data is 346, 500, 276, 612

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 612 is 2 x 2 x 3 x 3 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(346, 500) = 86500

GCD(346, 500) = ( 346 x 500 ) / 86500

GCD(346, 500) = 173000 / 86500

GCD(346, 500) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 276

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

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

GCD(2, 276) = 552 / 276

GCD(2, 276) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 612

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

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

GCD(2, 612) = 1224 / 612

GCD(2, 612) = 2

GCD of 346, 500, 276, 612 is 2

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1. What is the GCD of 346, 500, 276, 612?

GCD of 346, 500, 276, 612 is 2

2. Where do I get the detailed procedure to find GCD of 346, 500, 276, 612?

You can find a detailed procedure to find GCD of 346, 500, 276, 612 on our page.

3. How to find GCD of 346, 500, 276, 612 on a calculator?

You can find the GCD of 346, 500, 276, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.