GCD of 914, 777, 33, 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 914, 777, 33, 387 i.e. 1 largest integer that divides all the numbers equally.

GCD of 914, 777, 33, 387 is 1

GCD(914, 777, 33, 387) = 1

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

GCD of

GCD of numbers 914, 777, 33, 387 is 1

GCD(914, 777, 33, 387) = 1

GCD of 914,777,33,387 Calculator

GCDof 914,777,33,387 is 1

Given Input numbers are 914, 777, 33, 387

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

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 914, 777, 33, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 777, 33, 387 is 1.

Therefore, GCD of numbers 914, 777, 33, 387 is 1

Finding GCD of 914, 777, 33, 387 using Prime Factorization

Given Input Data is 914, 777, 33, 387

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 33 is 3 x 11

Prime Factorization of 387 is 3 x 3 x 43

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

Finding GCD of 914, 777, 33, 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(914, 777) = 710178

GCD(914, 777) = ( 914 x 777 ) / 710178

GCD(914, 777) = 710178 / 710178

GCD(914, 777) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

GCD of 914, 777, 33, 387 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 914, 777, 33, 387

1. What is the GCD of 914, 777, 33, 387?

GCD of 914, 777, 33, 387 is 1


2. Where do I get the detailed procedure to find GCD of 914, 777, 33, 387?

You can find a detailed procedure to find GCD of 914, 777, 33, 387 on our page.


3. How to find GCD of 914, 777, 33, 387 on a calculator?

You can find the GCD of 914, 777, 33, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.