GCD of 340, 404, 616 Calculator

Given Input numbers are 340, 404, 616

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 340, 404, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 404, 616 is 4.

Therefore, GCD of numbers 340, 404, 616 is 4

Given Input Data is 340, 404, 616

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(340, 404) = 34340

GCD(340, 404) = ( 340 x 404 ) / 34340

GCD(340, 404) = 137360 / 34340

GCD(340, 404) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 616

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

LCM(4, 616) = 616

GCD(4, 616) = ( 4 x 616 ) / 616

GCD(4, 616) = 2464 / 616

GCD(4, 616) = 4

GCD of 340, 404, 616 is 4

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• GCD of 821, 143, 198
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1. What is the GCD of 340, 404, 616?

GCD of 340, 404, 616 is 4

2. Where do I get the detailed procedure to find GCD of 340, 404, 616?

You can find a detailed procedure to find GCD of 340, 404, 616 on our page.

3. How to find GCD of 340, 404, 616 on a calculator?

You can find the GCD of 340, 404, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.