GCD of 738, 164, 246, 520 Calculator

Given Input numbers are 738, 164, 246, 520

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 246

List of positive integer divisors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 738, 164, 246, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 164, 246, 520 is 2.

Therefore, GCD of numbers 738, 164, 246, 520 is 2

Given Input Data is 738, 164, 246, 520

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 246 is 2 x 3 x 41

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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(738, 164) = 1476

GCD(738, 164) = ( 738 x 164 ) / 1476

GCD(738, 164) = 121032 / 1476

GCD(738, 164) = 82

Step2:

Here we consider the GCD from the above i.e. 82 as first number and the next as 246

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

LCM(82, 246) = 246

GCD(82, 246) = ( 82 x 246 ) / 246

GCD(82, 246) = 20172 / 246

GCD(82, 246) = 82

Step3:

Here we consider the GCD from the above i.e. 82 as first number and the next as 520

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

LCM(82, 520) = 21320

GCD(82, 520) = ( 82 x 520 ) / 21320

GCD(82, 520) = 42640 / 21320

GCD(82, 520) = 2

GCD of 738, 164, 246, 520 is 2

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1. What is the GCD of 738, 164, 246, 520?

GCD of 738, 164, 246, 520 is 2

2. Where do I get the detailed procedure to find GCD of 738, 164, 246, 520?

You can find a detailed procedure to find GCD of 738, 164, 246, 520 on our page.

3. How to find GCD of 738, 164, 246, 520 on a calculator?

You can find the GCD of 738, 164, 246, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.