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 346, 380, 855, 772 i.e. 1 largest integer that divides all the numbers equally.
GCD of 346, 380, 855, 772 is 1
GCD(346, 380, 855, 772) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 346, 380, 855, 772 is 1
GCD(346, 380, 855, 772) = 1
Given Input numbers are 346, 380, 855, 772
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 346, 380, 855, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 380, 855, 772 is 1.
Therefore, GCD of numbers 346, 380, 855, 772 is 1
Given Input Data is 346, 380, 855, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 346 is 2 x 173
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 772 is 2 x 2 x 193
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(346, 380) = 65740
GCD(346, 380) = ( 346 x 380 ) / 65740
GCD(346, 380) = 131480 / 65740
GCD(346, 380) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 855) = 1710
GCD(2, 855) = ( 2 x 855 ) / 1710
GCD(2, 855) = 1710 / 1710
GCD(2, 855) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
GCD of 346, 380, 855, 772 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 346, 380, 855, 772?
GCD of 346, 380, 855, 772 is 1
2. Where do I get the detailed procedure to find GCD of 346, 380, 855, 772?
You can find a detailed procedure to find GCD of 346, 380, 855, 772 on our page.
3. How to find GCD of 346, 380, 855, 772 on a calculator?
You can find the GCD of 346, 380, 855, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.