GCD of 330, 525, 375, 986 Calculator

Given Input numbers are 330, 525, 375, 986

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

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 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 375

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

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 330, 525, 375, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 525, 375, 986 is 1.

Therefore, GCD of numbers 330, 525, 375, 986 is 1

Given Input Data is 330, 525, 375, 986

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

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

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

Prime Factorization of 986 is 2 x 17 x 29

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(330, 525) = 11550

GCD(330, 525) = ( 330 x 525 ) / 11550

GCD(330, 525) = 173250 / 11550

GCD(330, 525) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 375

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

LCM(15, 375) = 375

GCD(15, 375) = ( 15 x 375 ) / 375

GCD(15, 375) = 5625 / 375

GCD(15, 375) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 986

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

LCM(15, 986) = 14790

GCD(15, 986) = ( 15 x 986 ) / 14790

GCD(15, 986) = 14790 / 14790

GCD(15, 986) = 1

GCD of 330, 525, 375, 986 is 1

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1. What is the GCD of 330, 525, 375, 986?

GCD of 330, 525, 375, 986 is 1

2. Where do I get the detailed procedure to find GCD of 330, 525, 375, 986?

You can find a detailed procedure to find GCD of 330, 525, 375, 986 on our page.

3. How to find GCD of 330, 525, 375, 986 on a calculator?

You can find the GCD of 330, 525, 375, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.