GCD of 660, 145, 66 Calculator
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 660, 145, 66 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 145, 66 is 1
GCD(660, 145, 66) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 145, 66 is 1
GCD(660, 145, 66) = 1
GCDof 660,145,66 is 1
Given Input numbers are 660, 145, 66
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
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 660, 145, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 145, 66 is 1.
Therefore, GCD of numbers 660, 145, 66 is 1
Given Input Data is 660, 145, 66
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 145 is 5 x 29
Prime Factorization of 66 is 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 660, 145, 66 using LCM Formula
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(660, 145) = 19140
GCD(660, 145) = ( 660 x 145 ) / 19140
GCD(660, 145) = 95700 / 19140
GCD(660, 145) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 66) = 330
GCD(5, 66) = ( 5 x 66 ) / 330
GCD(5, 66) = 330 / 330
GCD(5, 66) = 1
GCD of 660, 145, 66 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 660, 145, 66
1. What is the GCD of 660, 145, 66?
GCD of 660, 145, 66 is 1
2. Where do I get the detailed procedure to find GCD of 660, 145, 66?
You can find a detailed procedure to find GCD of 660, 145, 66 on our page.
3. How to find GCD of 660, 145, 66 on a calculator?
You can find the GCD of 660, 145, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
