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 173, 734, 74, 759 i.e. 1 largest integer that divides all the numbers equally.
GCD of 173, 734, 74, 759 is 1
GCD(173, 734, 74, 759) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 173, 734, 74, 759 is 1
GCD(173, 734, 74, 759) = 1
Given Input numbers are 173, 734, 74, 759
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Greatest Common Divisior
We found the divisors of 173, 734, 74, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 173, 734, 74, 759 is 1.
Therefore, GCD of numbers 173, 734, 74, 759 is 1
Given Input Data is 173, 734, 74, 759
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 173 is 173
Prime Factorization of 734 is 2 x 367
Prime Factorization of 74 is 2 x 37
Prime Factorization of 759 is 3 x 11 x 23
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(173, 734) = 126982
GCD(173, 734) = ( 173 x 734 ) / 126982
GCD(173, 734) = 126982 / 126982
GCD(173, 734) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 759
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 759) = 759
GCD(1, 759) = ( 1 x 759 ) / 759
GCD(1, 759) = 759 / 759
GCD(1, 759) = 1
GCD of 173, 734, 74, 759 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 173, 734, 74, 759?
GCD of 173, 734, 74, 759 is 1
2. Where do I get the detailed procedure to find GCD of 173, 734, 74, 759?
You can find a detailed procedure to find GCD of 173, 734, 74, 759 on our page.
3. How to find GCD of 173, 734, 74, 759 on a calculator?
You can find the GCD of 173, 734, 74, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.