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 295, 973, 852, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 295, 973, 852, 720 is 1
GCD(295, 973, 852, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 295, 973, 852, 720 is 1
GCD(295, 973, 852, 720) = 1
Given Input numbers are 295, 973, 852, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
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 295, 973, 852, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 973, 852, 720 is 1.
Therefore, GCD of numbers 295, 973, 852, 720 is 1
Given Input Data is 295, 973, 852, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 295 is 5 x 59
Prime Factorization of 973 is 7 x 139
Prime Factorization of 852 is 2 x 2 x 3 x 71
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(295, 973) = 287035
GCD(295, 973) = ( 295 x 973 ) / 287035
GCD(295, 973) = 287035 / 287035
GCD(295, 973) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 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 295, 973, 852, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 295, 973, 852, 720?
GCD of 295, 973, 852, 720 is 1
2. Where do I get the detailed procedure to find GCD of 295, 973, 852, 720?
You can find a detailed procedure to find GCD of 295, 973, 852, 720 on our page.
3. How to find GCD of 295, 973, 852, 720 on a calculator?
You can find the GCD of 295, 973, 852, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.