GCD of 372, 810, 63, 975 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 372, 810, 63, 975 i.e. 3 largest integer that divides all the numbers equally.

GCD of 372, 810, 63, 975 is 3

GCD(372, 810, 63, 975) = 3

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

GCD of

GCD of numbers 372, 810, 63, 975 is 3

GCD(372, 810, 63, 975) = 3

GCD of 372,810,63,975 Calculator

GCDof 372,810,63,975 is 3

Given Input numbers are 372, 810, 63, 975

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

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

Greatest Common Divisior

We found the divisors of 372, 810, 63, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 810, 63, 975 is 3.

Therefore, GCD of numbers 372, 810, 63, 975 is 3

Finding GCD of 372, 810, 63, 975 using Prime Factorization

Given Input Data is 372, 810, 63, 975

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 63 is 3 x 3 x 7

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

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 372, 810, 63, 975 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(372, 810) = 50220

GCD(372, 810) = ( 372 x 810 ) / 50220

GCD(372, 810) = 301320 / 50220

GCD(372, 810) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 63

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

LCM(6, 63) = 126

GCD(6, 63) = ( 6 x 63 ) / 126

GCD(6, 63) = 378 / 126

GCD(6, 63) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 975

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

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

GCD(3, 975) = 2925 / 975

GCD(3, 975) = 3

GCD of 372, 810, 63, 975 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 372, 810, 63, 975

1. What is the GCD of 372, 810, 63, 975?

GCD of 372, 810, 63, 975 is 3


2. Where do I get the detailed procedure to find GCD of 372, 810, 63, 975?

You can find a detailed procedure to find GCD of 372, 810, 63, 975 on our page.


3. How to find GCD of 372, 810, 63, 975 on a calculator?

You can find the GCD of 372, 810, 63, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.