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 95, 508, 243, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 95, 508, 243, 720 is 1
GCD(95, 508, 243, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 95, 508, 243, 720 is 1
GCD(95, 508, 243, 720) = 1
Given Input numbers are 95, 508, 243, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Greatest Common Divisior
We found the divisors of 95, 508, 243, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 508, 243, 720 is 1.
Therefore, GCD of numbers 95, 508, 243, 720 is 1
Given Input Data is 95, 508, 243, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 95 is 5 x 19
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
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(95, 508) = 48260
GCD(95, 508) = ( 95 x 508 ) / 48260
GCD(95, 508) = 48260 / 48260
GCD(95, 508) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
GCD(1, 243) = 243 / 243
GCD(1, 243) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
GCD of 95, 508, 243, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 95, 508, 243, 720?
GCD of 95, 508, 243, 720 is 1
2. Where do I get the detailed procedure to find GCD of 95, 508, 243, 720?
You can find a detailed procedure to find GCD of 95, 508, 243, 720 on our page.
3. How to find GCD of 95, 508, 243, 720 on a calculator?
You can find the GCD of 95, 508, 243, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.