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 324, 705, 72, 265 i.e. 1 largest integer that divides all the numbers equally.
GCD of 324, 705, 72, 265 is 1
GCD(324, 705, 72, 265) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 705, 72, 265 is 1
GCD(324, 705, 72, 265) = 1
Given Input numbers are 324, 705, 72, 265
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Greatest Common Divisior
We found the divisors of 324, 705, 72, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 705, 72, 265 is 1.
Therefore, GCD of numbers 324, 705, 72, 265 is 1
Given Input Data is 324, 705, 72, 265
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 265 is 5 x 53
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(324, 705) = 76140
GCD(324, 705) = ( 324 x 705 ) / 76140
GCD(324, 705) = 228420 / 76140
GCD(324, 705) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 72) = 72
GCD(3, 72) = ( 3 x 72 ) / 72
GCD(3, 72) = 216 / 72
GCD(3, 72) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 265) = 795
GCD(3, 265) = ( 3 x 265 ) / 795
GCD(3, 265) = 795 / 795
GCD(3, 265) = 1
GCD of 324, 705, 72, 265 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 705, 72, 265?
GCD of 324, 705, 72, 265 is 1
2. Where do I get the detailed procedure to find GCD of 324, 705, 72, 265?
You can find a detailed procedure to find GCD of 324, 705, 72, 265 on our page.
3. How to find GCD of 324, 705, 72, 265 on a calculator?
You can find the GCD of 324, 705, 72, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.