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, 848, 60, 591 i.e. 1 largest integer that divides all the numbers equally.
GCD of 688, 848, 60, 591 is 1
GCD(688, 848, 60, 591) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 688, 848, 60, 591 is 1
GCD(688, 848, 60, 591) = 1
Given Input numbers are 688, 848, 60, 591
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 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Greatest Common Divisior
We found the divisors of 688, 848, 60, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 848, 60, 591 is 1.
Therefore, GCD of numbers 688, 848, 60, 591 is 1
Given Input Data is 688, 848, 60, 591
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 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 591 is 3 x 197
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, 848) = 36464
GCD(688, 848) = ( 688 x 848 ) / 36464
GCD(688, 848) = 583424 / 36464
GCD(688, 848) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 60) = 240
GCD(16, 60) = ( 16 x 60 ) / 240
GCD(16, 60) = 960 / 240
GCD(16, 60) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 591
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 591) = 2364
GCD(4, 591) = ( 4 x 591 ) / 2364
GCD(4, 591) = 2364 / 2364
GCD(4, 591) = 1
GCD of 688, 848, 60, 591 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 688, 848, 60, 591?
GCD of 688, 848, 60, 591 is 1
2. Where do I get the detailed procedure to find GCD of 688, 848, 60, 591?
You can find a detailed procedure to find GCD of 688, 848, 60, 591 on our page.
3. How to find GCD of 688, 848, 60, 591 on a calculator?
You can find the GCD of 688, 848, 60, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.