GCD of 306, 740, 564 Calculator

Given Input numbers are 306, 740, 564

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 306, 740, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 740, 564 is 2.

Therefore, GCD of numbers 306, 740, 564 is 2

Given Input Data is 306, 740, 564

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(306, 740) = 113220

GCD(306, 740) = ( 306 x 740 ) / 113220

GCD(306, 740) = 226440 / 113220

GCD(306, 740) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 564

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

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

GCD(2, 564) = 1128 / 564

GCD(2, 564) = 2

GCD of 306, 740, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 559, 504
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• GCD of 752, 503, 609
• GCD of 295, 403, 823

1. What is the GCD of 306, 740, 564?

GCD of 306, 740, 564 is 2

2. Where do I get the detailed procedure to find GCD of 306, 740, 564?

You can find a detailed procedure to find GCD of 306, 740, 564 on our page.

3. How to find GCD of 306, 740, 564 on a calculator?

You can find the GCD of 306, 740, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.