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 208, 209, 93, 648 i.e. 1 largest integer that divides all the numbers equally.
GCD of 208, 209, 93, 648 is 1
GCD(208, 209, 93, 648) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 208, 209, 93, 648 is 1
GCD(208, 209, 93, 648) = 1
Given Input numbers are 208, 209, 93, 648
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
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 208, 209, 93, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 209, 93, 648 is 1.
Therefore, GCD of numbers 208, 209, 93, 648 is 1
Given Input Data is 208, 209, 93, 648
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 209 is 11 x 19
Prime Factorization of 93 is 3 x 31
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(208, 209) = 43472
GCD(208, 209) = ( 208 x 209 ) / 43472
GCD(208, 209) = 43472 / 43472
GCD(208, 209) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 93) = 93
GCD(1, 93) = ( 1 x 93 ) / 93
GCD(1, 93) = 93 / 93
GCD(1, 93) = 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 208, 209, 93, 648 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 208, 209, 93, 648?
GCD of 208, 209, 93, 648 is 1
2. Where do I get the detailed procedure to find GCD of 208, 209, 93, 648?
You can find a detailed procedure to find GCD of 208, 209, 93, 648 on our page.
3. How to find GCD of 208, 209, 93, 648 on a calculator?
You can find the GCD of 208, 209, 93, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.