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 617, 470, 684, 360 i.e. 1 largest integer that divides all the numbers equally.
GCD of 617, 470, 684, 360 is 1
GCD(617, 470, 684, 360) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 617, 470, 684, 360 is 1
GCD(617, 470, 684, 360) = 1
Given Input numbers are 617, 470, 684, 360
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
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
Greatest Common Divisior
We found the divisors of 617, 470, 684, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 470, 684, 360 is 1.
Therefore, GCD of numbers 617, 470, 684, 360 is 1
Given Input Data is 617, 470, 684, 360
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 617 is 617
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
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(617, 470) = 289990
GCD(617, 470) = ( 617 x 470 ) / 289990
GCD(617, 470) = 289990 / 289990
GCD(617, 470) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
Step3:
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
GCD of 617, 470, 684, 360 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 617, 470, 684, 360?
GCD of 617, 470, 684, 360 is 1
2. Where do I get the detailed procedure to find GCD of 617, 470, 684, 360?
You can find a detailed procedure to find GCD of 617, 470, 684, 360 on our page.
3. How to find GCD of 617, 470, 684, 360 on a calculator?
You can find the GCD of 617, 470, 684, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.