GCD of 198, 590, 480, 375 Calculator

Given Input numbers are 198, 590, 480, 375

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 198, 590, 480, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 590, 480, 375 is 1.

Therefore, GCD of numbers 198, 590, 480, 375 is 1

Given Input Data is 198, 590, 480, 375

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 375 is 3 x 5 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(198, 590) = 58410

GCD(198, 590) = ( 198 x 590 ) / 58410

GCD(198, 590) = 116820 / 58410

GCD(198, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 375

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

LCM(2, 375) = 750

GCD(2, 375) = ( 2 x 375 ) / 750

GCD(2, 375) = 750 / 750

GCD(2, 375) = 1

GCD of 198, 590, 480, 375 is 1

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1. What is the GCD of 198, 590, 480, 375?

GCD of 198, 590, 480, 375 is 1

2. Where do I get the detailed procedure to find GCD of 198, 590, 480, 375?

You can find a detailed procedure to find GCD of 198, 590, 480, 375 on our page.

3. How to find GCD of 198, 590, 480, 375 on a calculator?

You can find the GCD of 198, 590, 480, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.