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 32, 973, 285, 308 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 973, 285, 308 is 1
GCD(32, 973, 285, 308) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 973, 285, 308 is 1
GCD(32, 973, 285, 308) = 1
Given Input numbers are 32, 973, 285, 308
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Greatest Common Divisior
We found the divisors of 32, 973, 285, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 973, 285, 308 is 1.
Therefore, GCD of numbers 32, 973, 285, 308 is 1
Given Input Data is 32, 973, 285, 308
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 973 is 7 x 139
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 308 is 2 x 2 x 7 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(32, 973) = 31136
GCD(32, 973) = ( 32 x 973 ) / 31136
GCD(32, 973) = 31136 / 31136
GCD(32, 973) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 285
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 285) = 285
GCD(1, 285) = ( 1 x 285 ) / 285
GCD(1, 285) = 285 / 285
GCD(1, 285) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 308
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
GCD(1, 308) = 308 / 308
GCD(1, 308) = 1
GCD of 32, 973, 285, 308 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 973, 285, 308?
GCD of 32, 973, 285, 308 is 1
2. Where do I get the detailed procedure to find GCD of 32, 973, 285, 308?
You can find a detailed procedure to find GCD of 32, 973, 285, 308 on our page.
3. How to find GCD of 32, 973, 285, 308 on a calculator?
You can find the GCD of 32, 973, 285, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.