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 664, 212, 101, 648 i.e. 1 largest integer that divides all the numbers equally.
GCD of 664, 212, 101, 648 is 1
GCD(664, 212, 101, 648) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 664, 212, 101, 648 is 1
GCD(664, 212, 101, 648) = 1
Given Input numbers are 664, 212, 101, 648
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Greatest Common Divisior
We found the divisors of 664, 212, 101, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 212, 101, 648 is 1.
Therefore, GCD of numbers 664, 212, 101, 648 is 1
Given Input Data is 664, 212, 101, 648
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 101 is 101
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
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(664, 212) = 35192
GCD(664, 212) = ( 664 x 212 ) / 35192
GCD(664, 212) = 140768 / 35192
GCD(664, 212) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 101) = 404
GCD(4, 101) = ( 4 x 101 ) / 404
GCD(4, 101) = 404 / 404
GCD(4, 101) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
GCD(1, 648) = 648 / 648
GCD(1, 648) = 1
GCD of 664, 212, 101, 648 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 664, 212, 101, 648?
GCD of 664, 212, 101, 648 is 1
2. Where do I get the detailed procedure to find GCD of 664, 212, 101, 648?
You can find a detailed procedure to find GCD of 664, 212, 101, 648 on our page.
3. How to find GCD of 664, 212, 101, 648 on a calculator?
You can find the GCD of 664, 212, 101, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.