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, 844, 77, 928 i.e. 1 largest integer that divides all the numbers equally.
GCD of 342, 844, 77, 928 is 1
GCD(342, 844, 77, 928) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 342, 844, 77, 928 is 1
GCD(342, 844, 77, 928) = 1
Given Input numbers are 342, 844, 77, 928
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 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Greatest Common Divisior
We found the divisors of 342, 844, 77, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 844, 77, 928 is 1.
Therefore, GCD of numbers 342, 844, 77, 928 is 1
Given Input Data is 342, 844, 77, 928
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 844 is 2 x 2 x 211
Prime Factorization of 77 is 7 x 11
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
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, 844) = 144324
GCD(342, 844) = ( 342 x 844 ) / 144324
GCD(342, 844) = 288648 / 144324
GCD(342, 844) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
GCD(2, 77) = 154 / 154
GCD(2, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
GCD(1, 928) = 928 / 928
GCD(1, 928) = 1
GCD of 342, 844, 77, 928 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 342, 844, 77, 928?
GCD of 342, 844, 77, 928 is 1
2. Where do I get the detailed procedure to find GCD of 342, 844, 77, 928?
You can find a detailed procedure to find GCD of 342, 844, 77, 928 on our page.
3. How to find GCD of 342, 844, 77, 928 on a calculator?
You can find the GCD of 342, 844, 77, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.