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 130, 685, 993, 334 i.e. 1 largest integer that divides all the numbers equally.
GCD of 130, 685, 993, 334 is 1
GCD(130, 685, 993, 334) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 130, 685, 993, 334 is 1
GCD(130, 685, 993, 334) = 1
Given Input numbers are 130, 685, 993, 334
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Greatest Common Divisior
We found the divisors of 130, 685, 993, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 685, 993, 334 is 1.
Therefore, GCD of numbers 130, 685, 993, 334 is 1
Given Input Data is 130, 685, 993, 334
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 685 is 5 x 137
Prime Factorization of 993 is 3 x 331
Prime Factorization of 334 is 2 x 167
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(130, 685) = 17810
GCD(130, 685) = ( 130 x 685 ) / 17810
GCD(130, 685) = 89050 / 17810
GCD(130, 685) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 993) = 4965
GCD(5, 993) = ( 5 x 993 ) / 4965
GCD(5, 993) = 4965 / 4965
GCD(5, 993) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 334) = 334
GCD(1, 334) = ( 1 x 334 ) / 334
GCD(1, 334) = 334 / 334
GCD(1, 334) = 1
GCD of 130, 685, 993, 334 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 130, 685, 993, 334?
GCD of 130, 685, 993, 334 is 1
2. Where do I get the detailed procedure to find GCD of 130, 685, 993, 334?
You can find a detailed procedure to find GCD of 130, 685, 993, 334 on our page.
3. How to find GCD of 130, 685, 993, 334 on a calculator?
You can find the GCD of 130, 685, 993, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.