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 465, 659, 17, 104 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 659, 17, 104 is 1
GCD(465, 659, 17, 104) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 659, 17, 104 is 1
GCD(465, 659, 17, 104) = 1
Given Input numbers are 465, 659, 17, 104
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Greatest Common Divisior
We found the divisors of 465, 659, 17, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 659, 17, 104 is 1.
Therefore, GCD of numbers 465, 659, 17, 104 is 1
Given Input Data is 465, 659, 17, 104
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 659 is 659
Prime Factorization of 17 is 17
Prime Factorization of 104 is 2 x 2 x 2 x 13
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(465, 659) = 306435
GCD(465, 659) = ( 465 x 659 ) / 306435
GCD(465, 659) = 306435 / 306435
GCD(465, 659) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
GCD(1, 104) = 104 / 104
GCD(1, 104) = 1
GCD of 465, 659, 17, 104 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 659, 17, 104?
GCD of 465, 659, 17, 104 is 1
2. Where do I get the detailed procedure to find GCD of 465, 659, 17, 104?
You can find a detailed procedure to find GCD of 465, 659, 17, 104 on our page.
3. How to find GCD of 465, 659, 17, 104 on a calculator?
You can find the GCD of 465, 659, 17, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.