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, 707, 144, 904 i.e. 1 largest integer that divides all the numbers equally.
GCD of 668, 707, 144, 904 is 1
GCD(668, 707, 144, 904) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 668, 707, 144, 904 is 1
GCD(668, 707, 144, 904) = 1
Given Input numbers are 668, 707, 144, 904
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 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Greatest Common Divisior
We found the divisors of 668, 707, 144, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 707, 144, 904 is 1.
Therefore, GCD of numbers 668, 707, 144, 904 is 1
Given Input Data is 668, 707, 144, 904
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 707 is 7 x 101
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 904 is 2 x 2 x 2 x 113
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, 707) = 472276
GCD(668, 707) = ( 668 x 707 ) / 472276
GCD(668, 707) = 472276 / 472276
GCD(668, 707) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 904) = 904
GCD(1, 904) = ( 1 x 904 ) / 904
GCD(1, 904) = 904 / 904
GCD(1, 904) = 1
GCD of 668, 707, 144, 904 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 668, 707, 144, 904?
GCD of 668, 707, 144, 904 is 1
2. Where do I get the detailed procedure to find GCD of 668, 707, 144, 904?
You can find a detailed procedure to find GCD of 668, 707, 144, 904 on our page.
3. How to find GCD of 668, 707, 144, 904 on a calculator?
You can find the GCD of 668, 707, 144, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.