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 567, 444, 66, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 567, 444, 66, 374 is 1
GCD(567, 444, 66, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 567, 444, 66, 374 is 1
GCD(567, 444, 66, 374) = 1
Given Input numbers are 567, 444, 66, 374
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
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 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Greatest Common Divisior
We found the divisors of 567, 444, 66, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 444, 66, 374 is 1.
Therefore, GCD of numbers 567, 444, 66, 374 is 1
Given Input Data is 567, 444, 66, 374
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 374 is 2 x 11 x 17
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(567, 444) = 83916
GCD(567, 444) = ( 567 x 444 ) / 83916
GCD(567, 444) = 251748 / 83916
GCD(567, 444) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 66) = 66
GCD(3, 66) = ( 3 x 66 ) / 66
GCD(3, 66) = 198 / 66
GCD(3, 66) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 374) = 1122
GCD(3, 374) = ( 3 x 374 ) / 1122
GCD(3, 374) = 1122 / 1122
GCD(3, 374) = 1
GCD of 567, 444, 66, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 567, 444, 66, 374?
GCD of 567, 444, 66, 374 is 1
2. Where do I get the detailed procedure to find GCD of 567, 444, 66, 374?
You can find a detailed procedure to find GCD of 567, 444, 66, 374 on our page.
3. How to find GCD of 567, 444, 66, 374 on a calculator?
You can find the GCD of 567, 444, 66, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.