GCD of 608, 346, 18, 778 Calculator

Given Input numbers are 608, 346, 18, 778

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 346

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

1, 2, 173, 346

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 608, 346, 18, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 346, 18, 778 is 2.

Therefore, GCD of numbers 608, 346, 18, 778 is 2

Given Input Data is 608, 346, 18, 778

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 346 is 2 x 173

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 778 is 2 x 389

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(608, 346) = 105184

GCD(608, 346) = ( 608 x 346 ) / 105184

GCD(608, 346) = 210368 / 105184

GCD(608, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 778

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

LCM(2, 778) = 778

GCD(2, 778) = ( 2 x 778 ) / 778

GCD(2, 778) = 1556 / 778

GCD(2, 778) = 2

GCD of 608, 346, 18, 778 is 2

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1. What is the GCD of 608, 346, 18, 778?

GCD of 608, 346, 18, 778 is 2

2. Where do I get the detailed procedure to find GCD of 608, 346, 18, 778?

You can find a detailed procedure to find GCD of 608, 346, 18, 778 on our page.

3. How to find GCD of 608, 346, 18, 778 on a calculator?

You can find the GCD of 608, 346, 18, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.