GCD of 468, 520, 52, 414 Calculator

Given Input numbers are 468, 520, 52, 414

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 468, 520, 52, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 520, 52, 414 is 2.

Therefore, GCD of numbers 468, 520, 52, 414 is 2

Given Input Data is 468, 520, 52, 414

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(468, 520) = 4680

GCD(468, 520) = ( 468 x 520 ) / 4680

GCD(468, 520) = 243360 / 4680

GCD(468, 520) = 52

Step2:

Here we consider the GCD from the above i.e. 52 as first number and the next as 52

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

LCM(52, 52) = 52

GCD(52, 52) = ( 52 x 52 ) / 52

GCD(52, 52) = 2704 / 52

GCD(52, 52) = 52

Step3:

Here we consider the GCD from the above i.e. 52 as first number and the next as 414

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

LCM(52, 414) = 10764

GCD(52, 414) = ( 52 x 414 ) / 10764

GCD(52, 414) = 21528 / 10764

GCD(52, 414) = 2

GCD of 468, 520, 52, 414 is 2

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• GCD of 269, 283, 12, 217
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• GCD of 972, 124, 27, 605
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• GCD of 369, 773, 65, 137

1. What is the GCD of 468, 520, 52, 414?

GCD of 468, 520, 52, 414 is 2

2. Where do I get the detailed procedure to find GCD of 468, 520, 52, 414?

You can find a detailed procedure to find GCD of 468, 520, 52, 414 on our page.

3. How to find GCD of 468, 520, 52, 414 on a calculator?

You can find the GCD of 468, 520, 52, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.