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 688, 602, 144, 319 i.e. 1 largest integer that divides all the numbers equally.
GCD of 688, 602, 144, 319 is 1
GCD(688, 602, 144, 319) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 688, 602, 144, 319 is 1
GCD(688, 602, 144, 319) = 1
Given Input numbers are 688, 602, 144, 319
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
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 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Greatest Common Divisior
We found the divisors of 688, 602, 144, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 602, 144, 319 is 1.
Therefore, GCD of numbers 688, 602, 144, 319 is 1
Given Input Data is 688, 602, 144, 319
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 319 is 11 x 29
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(688, 602) = 4816
GCD(688, 602) = ( 688 x 602 ) / 4816
GCD(688, 602) = 414176 / 4816
GCD(688, 602) = 86
Step2:
Here we consider the GCD from the above i.e. 86 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(86, 144) = 6192
GCD(86, 144) = ( 86 x 144 ) / 6192
GCD(86, 144) = 12384 / 6192
GCD(86, 144) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 319) = 638
GCD(2, 319) = ( 2 x 319 ) / 638
GCD(2, 319) = 638 / 638
GCD(2, 319) = 1
GCD of 688, 602, 144, 319 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 688, 602, 144, 319?
GCD of 688, 602, 144, 319 is 1
2. Where do I get the detailed procedure to find GCD of 688, 602, 144, 319?
You can find a detailed procedure to find GCD of 688, 602, 144, 319 on our page.
3. How to find GCD of 688, 602, 144, 319 on a calculator?
You can find the GCD of 688, 602, 144, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.