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 76, 152, 385, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 152, 385, 777 is 1
GCD(76, 152, 385, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 152, 385, 777 is 1
GCD(76, 152, 385, 777) = 1
Given Input numbers are 76, 152, 385, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 76, 152, 385, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 152, 385, 777 is 1.
Therefore, GCD of numbers 76, 152, 385, 777 is 1
Given Input Data is 76, 152, 385, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 777 is 3 x 7 x 37
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(76, 152) = 152
GCD(76, 152) = ( 76 x 152 ) / 152
GCD(76, 152) = 11552 / 152
GCD(76, 152) = 76
Step2:
Here we consider the GCD from the above i.e. 76 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(76, 385) = 29260
GCD(76, 385) = ( 76 x 385 ) / 29260
GCD(76, 385) = 29260 / 29260
GCD(76, 385) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 76, 152, 385, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 152, 385, 777?
GCD of 76, 152, 385, 777 is 1
2. Where do I get the detailed procedure to find GCD of 76, 152, 385, 777?
You can find a detailed procedure to find GCD of 76, 152, 385, 777 on our page.
3. How to find GCD of 76, 152, 385, 777 on a calculator?
You can find the GCD of 76, 152, 385, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.