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 numbers 914, 777, 33, 387 is 1
GCD(914, 777, 33, 387) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.