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 75, 444, 192, 682 i.e. 1 largest integer that divides all the numbers equally.
GCD of 75, 444, 192, 682 is 1
GCD(75, 444, 192, 682) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 75, 444, 192, 682 is 1
GCD(75, 444, 192, 682) = 1
Given Input numbers are 75, 444, 192, 682
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Greatest Common Divisior
We found the divisors of 75, 444, 192, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 444, 192, 682 is 1.
Therefore, GCD of numbers 75, 444, 192, 682 is 1
Given Input Data is 75, 444, 192, 682
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 682 is 2 x 11 x 31
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(75, 444) = 11100
GCD(75, 444) = ( 75 x 444 ) / 11100
GCD(75, 444) = 33300 / 11100
GCD(75, 444) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 192
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 192) = 192
GCD(3, 192) = ( 3 x 192 ) / 192
GCD(3, 192) = 576 / 192
GCD(3, 192) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 682
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 682) = 2046
GCD(3, 682) = ( 3 x 682 ) / 2046
GCD(3, 682) = 2046 / 2046
GCD(3, 682) = 1
GCD of 75, 444, 192, 682 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 75, 444, 192, 682?
GCD of 75, 444, 192, 682 is 1
2. Where do I get the detailed procedure to find GCD of 75, 444, 192, 682?
You can find a detailed procedure to find GCD of 75, 444, 192, 682 on our page.
3. How to find GCD of 75, 444, 192, 682 on a calculator?
You can find the GCD of 75, 444, 192, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.