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 944, 720, 93, 171 i.e. 1 largest integer that divides all the numbers equally.
GCD of 944, 720, 93, 171 is 1
GCD(944, 720, 93, 171) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 944, 720, 93, 171 is 1
GCD(944, 720, 93, 171) = 1
Given Input numbers are 944, 720, 93, 171
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
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
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Greatest Common Divisior
We found the divisors of 944, 720, 93, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 720, 93, 171 is 1.
Therefore, GCD of numbers 944, 720, 93, 171 is 1
Given Input Data is 944, 720, 93, 171
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 93 is 3 x 31
Prime Factorization of 171 is 3 x 3 x 19
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(944, 720) = 42480
GCD(944, 720) = ( 944 x 720 ) / 42480
GCD(944, 720) = 679680 / 42480
GCD(944, 720) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 93) = 1488
GCD(16, 93) = ( 16 x 93 ) / 1488
GCD(16, 93) = 1488 / 1488
GCD(16, 93) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
GCD(1, 171) = 171 / 171
GCD(1, 171) = 1
GCD of 944, 720, 93, 171 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 944, 720, 93, 171?
GCD of 944, 720, 93, 171 is 1
2. Where do I get the detailed procedure to find GCD of 944, 720, 93, 171?
You can find a detailed procedure to find GCD of 944, 720, 93, 171 on our page.
3. How to find GCD of 944, 720, 93, 171 on a calculator?
You can find the GCD of 944, 720, 93, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.