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 309, 960, 43, 362 i.e. 1 largest integer that divides all the numbers equally.
GCD of 309, 960, 43, 362 is 1
GCD(309, 960, 43, 362) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 309, 960, 43, 362 is 1
GCD(309, 960, 43, 362) = 1
Given Input numbers are 309, 960, 43, 362
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Greatest Common Divisior
We found the divisors of 309, 960, 43, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 960, 43, 362 is 1.
Therefore, GCD of numbers 309, 960, 43, 362 is 1
Given Input Data is 309, 960, 43, 362
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 309 is 3 x 103
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 43 is 43
Prime Factorization of 362 is 2 x 181
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(309, 960) = 98880
GCD(309, 960) = ( 309 x 960 ) / 98880
GCD(309, 960) = 296640 / 98880
GCD(309, 960) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 43) = 129
GCD(3, 43) = ( 3 x 43 ) / 129
GCD(3, 43) = 129 / 129
GCD(3, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 362
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 362) = 362
GCD(1, 362) = ( 1 x 362 ) / 362
GCD(1, 362) = 362 / 362
GCD(1, 362) = 1
GCD of 309, 960, 43, 362 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 309, 960, 43, 362?
GCD of 309, 960, 43, 362 is 1
2. Where do I get the detailed procedure to find GCD of 309, 960, 43, 362?
You can find a detailed procedure to find GCD of 309, 960, 43, 362 on our page.
3. How to find GCD of 309, 960, 43, 362 on a calculator?
You can find the GCD of 309, 960, 43, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.