GCD of 975, 441, 666, 387 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 975, 441, 666, 387 i.e. 3 largest integer that divides all the numbers equally.

GCD of 975, 441, 666, 387 is 3

GCD(975, 441, 666, 387) = 3

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 975, 441, 666, 387 is 3

GCD(975, 441, 666, 387) = 3

GCD of 975,441,666,387 Calculator

GCDof 975,441,666,387 is 3

Given Input numbers are 975, 441, 666, 387

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 975, 441, 666, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 441, 666, 387 is 3.

Therefore, GCD of numbers 975, 441, 666, 387 is 3

Finding GCD of 975, 441, 666, 387 using Prime Factorization

Given Input Data is 975, 441, 666, 387

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 387 is 3 x 3 x 43

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 975, 441, 666, 387 using LCM Formula

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(975, 441) = 143325

GCD(975, 441) = ( 975 x 441 ) / 143325

GCD(975, 441) = 429975 / 143325

GCD(975, 441) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 666

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

LCM(3, 666) = 666

GCD(3, 666) = ( 3 x 666 ) / 666

GCD(3, 666) = 1998 / 666

GCD(3, 666) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 387

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

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

GCD(3, 387) = 1161 / 387

GCD(3, 387) = 3

GCD of 975, 441, 666, 387 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 975, 441, 666, 387

1. What is the GCD of 975, 441, 666, 387?

GCD of 975, 441, 666, 387 is 3


2. Where do I get the detailed procedure to find GCD of 975, 441, 666, 387?

You can find a detailed procedure to find GCD of 975, 441, 666, 387 on our page.


3. How to find GCD of 975, 441, 666, 387 on a calculator?

You can find the GCD of 975, 441, 666, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.