GCD of 428, 414, 578, 564 Calculator

Given Input numbers are 428, 414, 578, 564

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

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 428, 414, 578, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 414, 578, 564 is 2.

Therefore, GCD of numbers 428, 414, 578, 564 is 2

Given Input Data is 428, 414, 578, 564

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

Prime Factorization of 428 is 2 x 2 x 107

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

Prime Factorization of 578 is 2 x 17 x 17

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(428, 414) = 88596

GCD(428, 414) = ( 428 x 414 ) / 88596

GCD(428, 414) = 177192 / 88596

GCD(428, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 578

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

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

GCD(2, 578) = 1156 / 578

GCD(2, 578) = 2

Step3:

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 428, 414, 578, 564 is 2

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1. What is the GCD of 428, 414, 578, 564?

GCD of 428, 414, 578, 564 is 2

2. Where do I get the detailed procedure to find GCD of 428, 414, 578, 564?

You can find a detailed procedure to find GCD of 428, 414, 578, 564 on our page.

3. How to find GCD of 428, 414, 578, 564 on a calculator?

You can find the GCD of 428, 414, 578, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.