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 344, 615, 73, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 344, 615, 73, 132 is 1
GCD(344, 615, 73, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 344, 615, 73, 132 is 1
GCD(344, 615, 73, 132) = 1
Given Input numbers are 344, 615, 73, 132
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Greatest Common Divisior
We found the divisors of 344, 615, 73, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 615, 73, 132 is 1.
Therefore, GCD of numbers 344, 615, 73, 132 is 1
Given Input Data is 344, 615, 73, 132
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 73 is 73
Prime Factorization of 132 is 2 x 2 x 3 x 11
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(344, 615) = 211560
GCD(344, 615) = ( 344 x 615 ) / 211560
GCD(344, 615) = 211560 / 211560
GCD(344, 615) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
GCD of 344, 615, 73, 132 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 344, 615, 73, 132?
GCD of 344, 615, 73, 132 is 1
2. Where do I get the detailed procedure to find GCD of 344, 615, 73, 132?
You can find a detailed procedure to find GCD of 344, 615, 73, 132 on our page.
3. How to find GCD of 344, 615, 73, 132 on a calculator?
You can find the GCD of 344, 615, 73, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.