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, 504, 771, 922 i.e. 1 largest integer that divides all the numbers equally.
GCD of 174, 504, 771, 922 is 1
GCD(174, 504, 771, 922) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 174, 504, 771, 922 is 1
GCD(174, 504, 771, 922) = 1
Given Input numbers are 174, 504, 771, 922
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 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Greatest Common Divisior
We found the divisors of 174, 504, 771, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 504, 771, 922 is 1.
Therefore, GCD of numbers 174, 504, 771, 922 is 1
Given Input Data is 174, 504, 771, 922
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 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 771 is 3 x 257
Prime Factorization of 922 is 2 x 461
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, 504) = 14616
GCD(174, 504) = ( 174 x 504 ) / 14616
GCD(174, 504) = 87696 / 14616
GCD(174, 504) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 771) = 1542
GCD(6, 771) = ( 6 x 771 ) / 1542
GCD(6, 771) = 4626 / 1542
GCD(6, 771) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 922) = 2766
GCD(3, 922) = ( 3 x 922 ) / 2766
GCD(3, 922) = 2766 / 2766
GCD(3, 922) = 1
GCD of 174, 504, 771, 922 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 174, 504, 771, 922?
GCD of 174, 504, 771, 922 is 1
2. Where do I get the detailed procedure to find GCD of 174, 504, 771, 922?
You can find a detailed procedure to find GCD of 174, 504, 771, 922 on our page.
3. How to find GCD of 174, 504, 771, 922 on a calculator?
You can find the GCD of 174, 504, 771, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.