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, 418, 169, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 342, 418, 169, 777 is 1
GCD(342, 418, 169, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 342, 418, 169, 777 is 1
GCD(342, 418, 169, 777) = 1
Given Input numbers are 342, 418, 169, 777
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 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
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 342, 418, 169, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 418, 169, 777 is 1.
Therefore, GCD of numbers 342, 418, 169, 777 is 1
Given Input Data is 342, 418, 169, 777
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 418 is 2 x 11 x 19
Prime Factorization of 169 is 13 x 13
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(342, 418) = 3762
GCD(342, 418) = ( 342 x 418 ) / 3762
GCD(342, 418) = 142956 / 3762
GCD(342, 418) = 38
Step2:
Here we consider the GCD from the above i.e. 38 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(38, 169) = 6422
GCD(38, 169) = ( 38 x 169 ) / 6422
GCD(38, 169) = 6422 / 6422
GCD(38, 169) = 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 342, 418, 169, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 342, 418, 169, 777?
GCD of 342, 418, 169, 777 is 1
2. Where do I get the detailed procedure to find GCD of 342, 418, 169, 777?
You can find a detailed procedure to find GCD of 342, 418, 169, 777 on our page.
3. How to find GCD of 342, 418, 169, 777 on a calculator?
You can find the GCD of 342, 418, 169, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.