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 66, 164, 242, 985 i.e. 1 largest integer that divides all the numbers equally.
GCD of 66, 164, 242, 985 is 1
GCD(66, 164, 242, 985) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 66, 164, 242, 985 is 1
GCD(66, 164, 242, 985) = 1
Given Input numbers are 66, 164, 242, 985
To find the GCD of numbers using factoring list out all the divisors of each number
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 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Greatest Common Divisior
We found the divisors of 66, 164, 242, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 164, 242, 985 is 1.
Therefore, GCD of numbers 66, 164, 242, 985 is 1
Given Input Data is 66, 164, 242, 985
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 985 is 5 x 197
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(66, 164) = 5412
GCD(66, 164) = ( 66 x 164 ) / 5412
GCD(66, 164) = 10824 / 5412
GCD(66, 164) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 242) = 242
GCD(2, 242) = ( 2 x 242 ) / 242
GCD(2, 242) = 484 / 242
GCD(2, 242) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 985) = 1970
GCD(2, 985) = ( 2 x 985 ) / 1970
GCD(2, 985) = 1970 / 1970
GCD(2, 985) = 1
GCD of 66, 164, 242, 985 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 66, 164, 242, 985?
GCD of 66, 164, 242, 985 is 1
2. Where do I get the detailed procedure to find GCD of 66, 164, 242, 985?
You can find a detailed procedure to find GCD of 66, 164, 242, 985 on our page.
3. How to find GCD of 66, 164, 242, 985 on a calculator?
You can find the GCD of 66, 164, 242, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.