GCD of 34, 300, 608, 316 Calculator

Given Input numbers are 34, 300, 608, 316

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 34, 300, 608, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 300, 608, 316 is 2.

Therefore, GCD of numbers 34, 300, 608, 316 is 2

Given Input Data is 34, 300, 608, 316

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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

Prime Factorization of 316 is 2 x 2 x 79

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(34, 300) = 5100

GCD(34, 300) = ( 34 x 300 ) / 5100

GCD(34, 300) = 10200 / 5100

GCD(34, 300) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 608

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

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

GCD(2, 608) = 1216 / 608

GCD(2, 608) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 316

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

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

GCD(2, 316) = 632 / 316

GCD(2, 316) = 2

GCD of 34, 300, 608, 316 is 2

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• GCD of 61, 390, 370, 728
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1. What is the GCD of 34, 300, 608, 316?

GCD of 34, 300, 608, 316 is 2

2. Where do I get the detailed procedure to find GCD of 34, 300, 608, 316?

You can find a detailed procedure to find GCD of 34, 300, 608, 316 on our page.

3. How to find GCD of 34, 300, 608, 316 on a calculator?

You can find the GCD of 34, 300, 608, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.