GCD of 472, 602, 750, 578 Calculator

Given Input numbers are 472, 602, 750, 578

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 578

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

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 472, 602, 750, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 602, 750, 578 is 2.

Therefore, GCD of numbers 472, 602, 750, 578 is 2

Given Input Data is 472, 602, 750, 578

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 578 is 2 x 17 x 17

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(472, 602) = 142072

GCD(472, 602) = ( 472 x 602 ) / 142072

GCD(472, 602) = 284144 / 142072

GCD(472, 602) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 750

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

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

GCD(2, 750) = 1500 / 750

GCD(2, 750) = 2

Step3:

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

GCD of 472, 602, 750, 578 is 2

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1. What is the GCD of 472, 602, 750, 578?

GCD of 472, 602, 750, 578 is 2

2. Where do I get the detailed procedure to find GCD of 472, 602, 750, 578?

You can find a detailed procedure to find GCD of 472, 602, 750, 578 on our page.

3. How to find GCD of 472, 602, 750, 578 on a calculator?

You can find the GCD of 472, 602, 750, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.