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 745, 666, 66 i.e. 1 largest integer that divides all the numbers equally.
GCD of 745, 666, 66 is 1
GCD(745, 666, 66) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 745, 666, 66 is 1
GCD(745, 666, 66) = 1
Given Input numbers are 745, 666, 66
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Greatest Common Divisior
We found the divisors of 745, 666, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 666, 66 is 1.
Therefore, GCD of numbers 745, 666, 66 is 1
Given Input Data is 745, 666, 66
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 745 is 5 x 149
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 66 is 2 x 3 x 11
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(745, 666) = 496170
GCD(745, 666) = ( 745 x 666 ) / 496170
GCD(745, 666) = 496170 / 496170
GCD(745, 666) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
GCD of 745, 666, 66 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 745, 666, 66?
GCD of 745, 666, 66 is 1
2. Where do I get the detailed procedure to find GCD of 745, 666, 66?
You can find a detailed procedure to find GCD of 745, 666, 66 on our page.
3. How to find GCD of 745, 666, 66 on a calculator?
You can find the GCD of 745, 666, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.