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 296, 465, 81, 342 i.e. 1 largest integer that divides all the numbers equally.
GCD of 296, 465, 81, 342 is 1
GCD(296, 465, 81, 342) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 296, 465, 81, 342 is 1
GCD(296, 465, 81, 342) = 1
Given Input numbers are 296, 465, 81, 342
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
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
Greatest Common Divisior
We found the divisors of 296, 465, 81, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 465, 81, 342 is 1.
Therefore, GCD of numbers 296, 465, 81, 342 is 1
Given Input Data is 296, 465, 81, 342
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 342 is 2 x 3 x 3 x 19
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(296, 465) = 137640
GCD(296, 465) = ( 296 x 465 ) / 137640
GCD(296, 465) = 137640 / 137640
GCD(296, 465) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 81) = 81
GCD(1, 81) = ( 1 x 81 ) / 81
GCD(1, 81) = 81 / 81
GCD(1, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
GCD(1, 342) = 342 / 342
GCD(1, 342) = 1
GCD of 296, 465, 81, 342 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 296, 465, 81, 342?
GCD of 296, 465, 81, 342 is 1
2. Where do I get the detailed procedure to find GCD of 296, 465, 81, 342?
You can find a detailed procedure to find GCD of 296, 465, 81, 342 on our page.
3. How to find GCD of 296, 465, 81, 342 on a calculator?
You can find the GCD of 296, 465, 81, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.