GCD of 624, 338, 270, 604 Calculator

Given Input numbers are 624, 338, 270, 604

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 624, 338, 270, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 338, 270, 604 is 2.

Therefore, GCD of numbers 624, 338, 270, 604 is 2

Given Input Data is 624, 338, 270, 604

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 604 is 2 x 2 x 151

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(624, 338) = 8112

GCD(624, 338) = ( 624 x 338 ) / 8112

GCD(624, 338) = 210912 / 8112

GCD(624, 338) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 270

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

LCM(26, 270) = 3510

GCD(26, 270) = ( 26 x 270 ) / 3510

GCD(26, 270) = 7020 / 3510

GCD(26, 270) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 604

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

LCM(2, 604) = 604

GCD(2, 604) = ( 2 x 604 ) / 604

GCD(2, 604) = 1208 / 604

GCD(2, 604) = 2

GCD of 624, 338, 270, 604 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 752, 348, 515
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• GCD of 916, 870, 464, 807
• GCD of 132, 298, 997, 579
• GCD of 206, 181, 937, 162

1. What is the GCD of 624, 338, 270, 604?

GCD of 624, 338, 270, 604 is 2

2. Where do I get the detailed procedure to find GCD of 624, 338, 270, 604?

You can find a detailed procedure to find GCD of 624, 338, 270, 604 on our page.

3. How to find GCD of 624, 338, 270, 604 on a calculator?

You can find the GCD of 624, 338, 270, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.