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, 133, 373, 920 i.e. 1 largest integer that divides all the numbers equally.
GCD of 174, 133, 373, 920 is 1
GCD(174, 133, 373, 920) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 174, 133, 373, 920 is 1
GCD(174, 133, 373, 920) = 1
Given Input numbers are 174, 133, 373, 920
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 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 373
List of positive integer divisors of 373 that divides 373 without a remainder.
1, 373
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Greatest Common Divisior
We found the divisors of 174, 133, 373, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 133, 373, 920 is 1.
Therefore, GCD of numbers 174, 133, 373, 920 is 1
Given Input Data is 174, 133, 373, 920
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 133 is 7 x 19
Prime Factorization of 373 is 373
Prime Factorization of 920 is 2 x 2 x 2 x 5 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, 133) = 23142
GCD(174, 133) = ( 174 x 133 ) / 23142
GCD(174, 133) = 23142 / 23142
GCD(174, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 373
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 373) = 373
GCD(1, 373) = ( 1 x 373 ) / 373
GCD(1, 373) = 373 / 373
GCD(1, 373) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
GCD of 174, 133, 373, 920 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 174, 133, 373, 920?
GCD of 174, 133, 373, 920 is 1
2. Where do I get the detailed procedure to find GCD of 174, 133, 373, 920?
You can find a detailed procedure to find GCD of 174, 133, 373, 920 on our page.
3. How to find GCD of 174, 133, 373, 920 on a calculator?
You can find the GCD of 174, 133, 373, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.