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 668, 188, 512, 143 i.e. 1 largest integer that divides all the numbers equally.
GCD of 668, 188, 512, 143 is 1
GCD(668, 188, 512, 143) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 668, 188, 512, 143 is 1
GCD(668, 188, 512, 143) = 1
Given Input numbers are 668, 188, 512, 143
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Greatest Common Divisior
We found the divisors of 668, 188, 512, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 188, 512, 143 is 1.
Therefore, GCD of numbers 668, 188, 512, 143 is 1
Given Input Data is 668, 188, 512, 143
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 143 is 11 x 13
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(668, 188) = 31396
GCD(668, 188) = ( 668 x 188 ) / 31396
GCD(668, 188) = 125584 / 31396
GCD(668, 188) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 512
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 512) = 512
GCD(4, 512) = ( 4 x 512 ) / 512
GCD(4, 512) = 2048 / 512
GCD(4, 512) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 143) = 572
GCD(4, 143) = ( 4 x 143 ) / 572
GCD(4, 143) = 572 / 572
GCD(4, 143) = 1
GCD of 668, 188, 512, 143 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 668, 188, 512, 143?
GCD of 668, 188, 512, 143 is 1
2. Where do I get the detailed procedure to find GCD of 668, 188, 512, 143?
You can find a detailed procedure to find GCD of 668, 188, 512, 143 on our page.
3. How to find GCD of 668, 188, 512, 143 on a calculator?
You can find the GCD of 668, 188, 512, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.