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 673, 360, 396, 120 i.e. 1 largest integer that divides all the numbers equally.
GCD of 673, 360, 396, 120 is 1
GCD(673, 360, 396, 120) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 673, 360, 396, 120 is 1
GCD(673, 360, 396, 120) = 1
Given Input numbers are 673, 360, 396, 120
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 673
List of positive integer divisors of 673 that divides 673 without a remainder.
1, 673
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Greatest Common Divisior
We found the divisors of 673, 360, 396, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 673, 360, 396, 120 is 1.
Therefore, GCD of numbers 673, 360, 396, 120 is 1
Given Input Data is 673, 360, 396, 120
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 673 is 673
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
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(673, 360) = 242280
GCD(673, 360) = ( 673 x 360 ) / 242280
GCD(673, 360) = 242280 / 242280
GCD(673, 360) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
GCD(1, 120) = 120 / 120
GCD(1, 120) = 1
GCD of 673, 360, 396, 120 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 673, 360, 396, 120?
GCD of 673, 360, 396, 120 is 1
2. Where do I get the detailed procedure to find GCD of 673, 360, 396, 120?
You can find a detailed procedure to find GCD of 673, 360, 396, 120 on our page.
3. How to find GCD of 673, 360, 396, 120 on a calculator?
You can find the GCD of 673, 360, 396, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.