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 320, 632, 82, 243 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 632, 82, 243 is 1
GCD(320, 632, 82, 243) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 632, 82, 243 is 1
GCD(320, 632, 82, 243) = 1
Given Input numbers are 320, 632, 82, 243
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Greatest Common Divisior
We found the divisors of 320, 632, 82, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 632, 82, 243 is 1.
Therefore, GCD of numbers 320, 632, 82, 243 is 1
Given Input Data is 320, 632, 82, 243
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 632 is 2 x 2 x 2 x 79
Prime Factorization of 82 is 2 x 41
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
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(320, 632) = 25280
GCD(320, 632) = ( 320 x 632 ) / 25280
GCD(320, 632) = 202240 / 25280
GCD(320, 632) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 82) = 328
GCD(8, 82) = ( 8 x 82 ) / 328
GCD(8, 82) = 656 / 328
GCD(8, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 243) = 486
GCD(2, 243) = ( 2 x 243 ) / 486
GCD(2, 243) = 486 / 486
GCD(2, 243) = 1
GCD of 320, 632, 82, 243 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 632, 82, 243?
GCD of 320, 632, 82, 243 is 1
2. Where do I get the detailed procedure to find GCD of 320, 632, 82, 243?
You can find a detailed procedure to find GCD of 320, 632, 82, 243 on our page.
3. How to find GCD of 320, 632, 82, 243 on a calculator?
You can find the GCD of 320, 632, 82, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.