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, 207, 88, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 207, 88, 116 is 1
GCD(660, 207, 88, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 207, 88, 116 is 1
GCD(660, 207, 88, 116) = 1
Given Input numbers are 660, 207, 88, 116
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 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 660, 207, 88, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 207, 88, 116 is 1.
Therefore, GCD of numbers 660, 207, 88, 116 is 1
Given Input Data is 660, 207, 88, 116
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 207 is 3 x 3 x 23
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 116 is 2 x 2 x 29
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(660, 207) = 45540
GCD(660, 207) = ( 660 x 207 ) / 45540
GCD(660, 207) = 136620 / 45540
GCD(660, 207) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 88) = 264
GCD(3, 88) = ( 3 x 88 ) / 264
GCD(3, 88) = 264 / 264
GCD(3, 88) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
GCD of 660, 207, 88, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 660, 207, 88, 116?
GCD of 660, 207, 88, 116 is 1
2. Where do I get the detailed procedure to find GCD of 660, 207, 88, 116?
You can find a detailed procedure to find GCD of 660, 207, 88, 116 on our page.
3. How to find GCD of 660, 207, 88, 116 on a calculator?
You can find the GCD of 660, 207, 88, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.