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 598, 185, 688, 965 i.e. 1 largest integer that divides all the numbers equally.
GCD of 598, 185, 688, 965 is 1
GCD(598, 185, 688, 965) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 598, 185, 688, 965 is 1
GCD(598, 185, 688, 965) = 1
Given Input numbers are 598, 185, 688, 965
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
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 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Greatest Common Divisior
We found the divisors of 598, 185, 688, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 185, 688, 965 is 1.
Therefore, GCD of numbers 598, 185, 688, 965 is 1
Given Input Data is 598, 185, 688, 965
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 185 is 5 x 37
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 965 is 5 x 193
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(598, 185) = 110630
GCD(598, 185) = ( 598 x 185 ) / 110630
GCD(598, 185) = 110630 / 110630
GCD(598, 185) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
GCD(1, 688) = 688 / 688
GCD(1, 688) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 965) = 965
GCD(1, 965) = ( 1 x 965 ) / 965
GCD(1, 965) = 965 / 965
GCD(1, 965) = 1
GCD of 598, 185, 688, 965 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 598, 185, 688, 965?
GCD of 598, 185, 688, 965 is 1
2. Where do I get the detailed procedure to find GCD of 598, 185, 688, 965?
You can find a detailed procedure to find GCD of 598, 185, 688, 965 on our page.
3. How to find GCD of 598, 185, 688, 965 on a calculator?
You can find the GCD of 598, 185, 688, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.