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 174, 310, 72, 621 i.e. 1 largest integer that divides all the numbers equally.
GCD of 174, 310, 72, 621 is 1
GCD(174, 310, 72, 621) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 174, 310, 72, 621 is 1
GCD(174, 310, 72, 621) = 1
Given Input numbers are 174, 310, 72, 621
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
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 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Greatest Common Divisior
We found the divisors of 174, 310, 72, 621 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 310, 72, 621 is 1.
Therefore, GCD of numbers 174, 310, 72, 621 is 1
Given Input Data is 174, 310, 72, 621
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 621 is 3 x 3 x 3 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(174, 310) = 26970
GCD(174, 310) = ( 174 x 310 ) / 26970
GCD(174, 310) = 53940 / 26970
GCD(174, 310) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
GCD(2, 72) = 144 / 72
GCD(2, 72) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 621
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 621) = 1242
GCD(2, 621) = ( 2 x 621 ) / 1242
GCD(2, 621) = 1242 / 1242
GCD(2, 621) = 1
GCD of 174, 310, 72, 621 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 174, 310, 72, 621?
GCD of 174, 310, 72, 621 is 1
2. Where do I get the detailed procedure to find GCD of 174, 310, 72, 621?
You can find a detailed procedure to find GCD of 174, 310, 72, 621 on our page.
3. How to find GCD of 174, 310, 72, 621 on a calculator?
You can find the GCD of 174, 310, 72, 621 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.