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 341, 306, 48, 162 i.e. 1 largest integer that divides all the numbers equally.
GCD of 341, 306, 48, 162 is 1
GCD(341, 306, 48, 162) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 341, 306, 48, 162 is 1
GCD(341, 306, 48, 162) = 1
Given Input numbers are 341, 306, 48, 162
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Greatest Common Divisior
We found the divisors of 341, 306, 48, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 306, 48, 162 is 1.
Therefore, GCD of numbers 341, 306, 48, 162 is 1
Given Input Data is 341, 306, 48, 162
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 341 is 11 x 31
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
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(341, 306) = 104346
GCD(341, 306) = ( 341 x 306 ) / 104346
GCD(341, 306) = 104346 / 104346
GCD(341, 306) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
GCD(1, 162) = 162 / 162
GCD(1, 162) = 1
GCD of 341, 306, 48, 162 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 341, 306, 48, 162?
GCD of 341, 306, 48, 162 is 1
2. Where do I get the detailed procedure to find GCD of 341, 306, 48, 162?
You can find a detailed procedure to find GCD of 341, 306, 48, 162 on our page.
3. How to find GCD of 341, 306, 48, 162 on a calculator?
You can find the GCD of 341, 306, 48, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.