GCD of 608, 504, 334, 918 Calculator

Given Input numbers are 608, 504, 334, 918

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 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 608, 504, 334, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 504, 334, 918 is 2.

Therefore, GCD of numbers 608, 504, 334, 918 is 2

Given Input Data is 608, 504, 334, 918

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 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 334 is 2 x 167

Prime Factorization of 918 is 2 x 3 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(608, 504) = 38304

GCD(608, 504) = ( 608 x 504 ) / 38304

GCD(608, 504) = 306432 / 38304

GCD(608, 504) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 334

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

LCM(8, 334) = 1336

GCD(8, 334) = ( 8 x 334 ) / 1336

GCD(8, 334) = 2672 / 1336

GCD(8, 334) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 918

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

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

GCD(2, 918) = 1836 / 918

GCD(2, 918) = 2

GCD of 608, 504, 334, 918 is 2

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1. What is the GCD of 608, 504, 334, 918?

GCD of 608, 504, 334, 918 is 2

2. Where do I get the detailed procedure to find GCD of 608, 504, 334, 918?

You can find a detailed procedure to find GCD of 608, 504, 334, 918 on our page.

3. How to find GCD of 608, 504, 334, 918 on a calculator?

You can find the GCD of 608, 504, 334, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.