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 342, 892, 76, 819 i.e. 1 largest integer that divides all the numbers equally.
GCD of 342, 892, 76, 819 is 1
GCD(342, 892, 76, 819) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 342, 892, 76, 819 is 1
GCD(342, 892, 76, 819) = 1
Given Input numbers are 342, 892, 76, 819
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Greatest Common Divisior
We found the divisors of 342, 892, 76, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 892, 76, 819 is 1.
Therefore, GCD of numbers 342, 892, 76, 819 is 1
Given Input Data is 342, 892, 76, 819
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 819 is 3 x 3 x 7 x 13
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(342, 892) = 152532
GCD(342, 892) = ( 342 x 892 ) / 152532
GCD(342, 892) = 305064 / 152532
GCD(342, 892) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 76) = 76
GCD(2, 76) = ( 2 x 76 ) / 76
GCD(2, 76) = 152 / 76
GCD(2, 76) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 819
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 819) = 1638
GCD(2, 819) = ( 2 x 819 ) / 1638
GCD(2, 819) = 1638 / 1638
GCD(2, 819) = 1
GCD of 342, 892, 76, 819 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 342, 892, 76, 819?
GCD of 342, 892, 76, 819 is 1
2. Where do I get the detailed procedure to find GCD of 342, 892, 76, 819?
You can find a detailed procedure to find GCD of 342, 892, 76, 819 on our page.
3. How to find GCD of 342, 892, 76, 819 on a calculator?
You can find the GCD of 342, 892, 76, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.