GCD of 320, 330, 370, 575 Calculator

Given Input numbers are 320, 330, 370, 575

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 370

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

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

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 320, 330, 370, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 330, 370, 575 is 5.

Therefore, GCD of numbers 320, 330, 370, 575 is 5

Given Input Data is 320, 330, 370, 575

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 575 is 5 x 5 x 23

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(320, 330) = 10560

GCD(320, 330) = ( 320 x 330 ) / 10560

GCD(320, 330) = 105600 / 10560

GCD(320, 330) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 370

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

LCM(10, 370) = 370

GCD(10, 370) = ( 10 x 370 ) / 370

GCD(10, 370) = 3700 / 370

GCD(10, 370) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 575

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

LCM(10, 575) = 1150

GCD(10, 575) = ( 10 x 575 ) / 1150

GCD(10, 575) = 5750 / 1150

GCD(10, 575) = 5

GCD of 320, 330, 370, 575 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 803, 460, 948
• GCD of 244, 736, 974, 519
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• GCD of 239, 100, 109, 430
• GCD of 868, 600, 799, 142

1. What is the GCD of 320, 330, 370, 575?

GCD of 320, 330, 370, 575 is 5

2. Where do I get the detailed procedure to find GCD of 320, 330, 370, 575?

You can find a detailed procedure to find GCD of 320, 330, 370, 575 on our page.

3. How to find GCD of 320, 330, 370, 575 on a calculator?

You can find the GCD of 320, 330, 370, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.