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 408, 380, 61, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 408, 380, 61, 684 is 1
GCD(408, 380, 61, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 408, 380, 61, 684 is 1
GCD(408, 380, 61, 684) = 1
Given Input numbers are 408, 380, 61, 684
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
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
Greatest Common Divisior
We found the divisors of 408, 380, 61, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 380, 61, 684 is 1.
Therefore, GCD of numbers 408, 380, 61, 684 is 1
Given Input Data is 408, 380, 61, 684
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 61 is 61
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
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(408, 380) = 38760
GCD(408, 380) = ( 408 x 380 ) / 38760
GCD(408, 380) = 155040 / 38760
GCD(408, 380) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 61) = 244
GCD(4, 61) = ( 4 x 61 ) / 244
GCD(4, 61) = 244 / 244
GCD(4, 61) = 1
Step3:
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
GCD of 408, 380, 61, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 408, 380, 61, 684?
GCD of 408, 380, 61, 684 is 1
2. Where do I get the detailed procedure to find GCD of 408, 380, 61, 684?
You can find a detailed procedure to find GCD of 408, 380, 61, 684 on our page.
3. How to find GCD of 408, 380, 61, 684 on a calculator?
You can find the GCD of 408, 380, 61, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.