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 613, 690, 360, 238 i.e. 1 largest integer that divides all the numbers equally.
GCD of 613, 690, 360, 238 is 1
GCD(613, 690, 360, 238) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 613, 690, 360, 238 is 1
GCD(613, 690, 360, 238) = 1
Given Input numbers are 613, 690, 360, 238
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Greatest Common Divisior
We found the divisors of 613, 690, 360, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 613, 690, 360, 238 is 1.
Therefore, GCD of numbers 613, 690, 360, 238 is 1
Given Input Data is 613, 690, 360, 238
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 613 is 613
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 238 is 2 x 7 x 17
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(613, 690) = 422970
GCD(613, 690) = ( 613 x 690 ) / 422970
GCD(613, 690) = 422970 / 422970
GCD(613, 690) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
GCD(1, 238) = 238 / 238
GCD(1, 238) = 1
GCD of 613, 690, 360, 238 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 613, 690, 360, 238?
GCD of 613, 690, 360, 238 is 1
2. Where do I get the detailed procedure to find GCD of 613, 690, 360, 238?
You can find a detailed procedure to find GCD of 613, 690, 360, 238 on our page.
3. How to find GCD of 613, 690, 360, 238 on a calculator?
You can find the GCD of 613, 690, 360, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.