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 306, 332, 292, 325 i.e. 1 largest integer that divides all the numbers equally.
GCD of 306, 332, 292, 325 is 1
GCD(306, 332, 292, 325) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 306, 332, 292, 325 is 1
GCD(306, 332, 292, 325) = 1
Given Input numbers are 306, 332, 292, 325
To find the GCD of numbers using factoring list out all the divisors of each number
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 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Greatest Common Divisior
We found the divisors of 306, 332, 292, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 332, 292, 325 is 1.
Therefore, GCD of numbers 306, 332, 292, 325 is 1
Given Input Data is 306, 332, 292, 325
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 292 is 2 x 2 x 73
Prime Factorization of 325 is 5 x 5 x 13
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(306, 332) = 50796
GCD(306, 332) = ( 306 x 332 ) / 50796
GCD(306, 332) = 101592 / 50796
GCD(306, 332) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 292
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 292) = 292
GCD(2, 292) = ( 2 x 292 ) / 292
GCD(2, 292) = 584 / 292
GCD(2, 292) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 325) = 650
GCD(2, 325) = ( 2 x 325 ) / 650
GCD(2, 325) = 650 / 650
GCD(2, 325) = 1
GCD of 306, 332, 292, 325 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 306, 332, 292, 325?
GCD of 306, 332, 292, 325 is 1
2. Where do I get the detailed procedure to find GCD of 306, 332, 292, 325?
You can find a detailed procedure to find GCD of 306, 332, 292, 325 on our page.
3. How to find GCD of 306, 332, 292, 325 on a calculator?
You can find the GCD of 306, 332, 292, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.