GCD of 574, 466, 52, 370 Calculator

Given Input numbers are 574, 466, 52, 370

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 574, 466, 52, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 466, 52, 370 is 2.

Therefore, GCD of numbers 574, 466, 52, 370 is 2

Given Input Data is 574, 466, 52, 370

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 466 is 2 x 233

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 370 is 2 x 5 x 37

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(574, 466) = 133742

GCD(574, 466) = ( 574 x 466 ) / 133742

GCD(574, 466) = 267484 / 133742

GCD(574, 466) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 370

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

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

GCD(2, 370) = 740 / 370

GCD(2, 370) = 2

GCD of 574, 466, 52, 370 is 2

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1. What is the GCD of 574, 466, 52, 370?

GCD of 574, 466, 52, 370 is 2

2. Where do I get the detailed procedure to find GCD of 574, 466, 52, 370?

You can find a detailed procedure to find GCD of 574, 466, 52, 370 on our page.

3. How to find GCD of 574, 466, 52, 370 on a calculator?

You can find the GCD of 574, 466, 52, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.