GCD of 375, 704, 905 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 375, 704, 905 i.e. 1 largest integer that divides all the numbers equally.

GCD of 375, 704, 905 is 1

GCD(375, 704, 905) = 1

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

GCD of

GCD of numbers 375, 704, 905 is 1

GCD(375, 704, 905) = 1

GCD of 375,704,905 Calculator

GCDof 375,704,905 is 1

Given Input numbers are 375, 704, 905

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

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 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 375, 704, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 704, 905 is 1.

Therefore, GCD of numbers 375, 704, 905 is 1

Finding GCD of 375, 704, 905 using Prime Factorization

Given Input Data is 375, 704, 905

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

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 905 is 5 x 181

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

Finding GCD of 375, 704, 905 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(375, 704) = 264000

GCD(375, 704) = ( 375 x 704 ) / 264000

GCD(375, 704) = 264000 / 264000

GCD(375, 704) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

GCD of 375, 704, 905 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 375, 704, 905

1. What is the GCD of 375, 704, 905?

GCD of 375, 704, 905 is 1


2. Where do I get the detailed procedure to find GCD of 375, 704, 905?

You can find a detailed procedure to find GCD of 375, 704, 905 on our page.


3. How to find GCD of 375, 704, 905 on a calculator?

You can find the GCD of 375, 704, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.