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, 332, 253, 646 i.e. 1 largest integer that divides all the numbers equally.
GCD of 66, 332, 253, 646 is 1
GCD(66, 332, 253, 646) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 66, 332, 253, 646 is 1
GCD(66, 332, 253, 646) = 1
Given Input numbers are 66, 332, 253, 646
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 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 66, 332, 253, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 332, 253, 646 is 1.
Therefore, GCD of numbers 66, 332, 253, 646 is 1
Given Input Data is 66, 332, 253, 646
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 332 is 2 x 2 x 83
Prime Factorization of 253 is 11 x 23
Prime Factorization of 646 is 2 x 17 x 19
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, 332) = 10956
GCD(66, 332) = ( 66 x 332 ) / 10956
GCD(66, 332) = 21912 / 10956
GCD(66, 332) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 253
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 253) = 506
GCD(2, 253) = ( 2 x 253 ) / 506
GCD(2, 253) = 506 / 506
GCD(2, 253) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
GCD of 66, 332, 253, 646 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 66, 332, 253, 646?
GCD of 66, 332, 253, 646 is 1
2. Where do I get the detailed procedure to find GCD of 66, 332, 253, 646?
You can find a detailed procedure to find GCD of 66, 332, 253, 646 on our page.
3. How to find GCD of 66, 332, 253, 646 on a calculator?
You can find the GCD of 66, 332, 253, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.