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 672, 219, 437, 366 i.e. 1 largest integer that divides all the numbers equally.
GCD of 672, 219, 437, 366 is 1
GCD(672, 219, 437, 366) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 672, 219, 437, 366 is 1
GCD(672, 219, 437, 366) = 1
Given Input numbers are 672, 219, 437, 366
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 219
List of positive integer divisors of 219 that divides 219 without a remainder.
1, 3, 73, 219
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Greatest Common Divisior
We found the divisors of 672, 219, 437, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 219, 437, 366 is 1.
Therefore, GCD of numbers 672, 219, 437, 366 is 1
Given Input Data is 672, 219, 437, 366
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 219 is 3 x 73
Prime Factorization of 437 is 19 x 23
Prime Factorization of 366 is 2 x 3 x 61
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(672, 219) = 49056
GCD(672, 219) = ( 672 x 219 ) / 49056
GCD(672, 219) = 147168 / 49056
GCD(672, 219) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 437) = 1311
GCD(3, 437) = ( 3 x 437 ) / 1311
GCD(3, 437) = 1311 / 1311
GCD(3, 437) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
GCD of 672, 219, 437, 366 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 672, 219, 437, 366?
GCD of 672, 219, 437, 366 is 1
2. Where do I get the detailed procedure to find GCD of 672, 219, 437, 366?
You can find a detailed procedure to find GCD of 672, 219, 437, 366 on our page.
3. How to find GCD of 672, 219, 437, 366 on a calculator?
You can find the GCD of 672, 219, 437, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.