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, 988, 260, 785 i.e. 1 largest integer that divides all the numbers equally.
GCD of 598, 988, 260, 785 is 1
GCD(598, 988, 260, 785) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 598, 988, 260, 785 is 1
GCD(598, 988, 260, 785) = 1
Given Input numbers are 598, 988, 260, 785
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 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Greatest Common Divisior
We found the divisors of 598, 988, 260, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 988, 260, 785 is 1.
Therefore, GCD of numbers 598, 988, 260, 785 is 1
Given Input Data is 598, 988, 260, 785
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 988 is 2 x 2 x 13 x 19
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 785 is 5 x 157
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, 988) = 22724
GCD(598, 988) = ( 598 x 988 ) / 22724
GCD(598, 988) = 590824 / 22724
GCD(598, 988) = 26
Step2:
Here we consider the GCD from the above i.e. 26 as first number and the next as 260
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(26, 260) = 260
GCD(26, 260) = ( 26 x 260 ) / 260
GCD(26, 260) = 6760 / 260
GCD(26, 260) = 26
Step3:
Here we consider the GCD from the above i.e. 26 as first number and the next as 785
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(26, 785) = 20410
GCD(26, 785) = ( 26 x 785 ) / 20410
GCD(26, 785) = 20410 / 20410
GCD(26, 785) = 1
GCD of 598, 988, 260, 785 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 598, 988, 260, 785?
GCD of 598, 988, 260, 785 is 1
2. Where do I get the detailed procedure to find GCD of 598, 988, 260, 785?
You can find a detailed procedure to find GCD of 598, 988, 260, 785 on our page.
3. How to find GCD of 598, 988, 260, 785 on a calculator?
You can find the GCD of 598, 988, 260, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.