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 854, 119, 15, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 854, 119, 15, 684 is 1
GCD(854, 119, 15, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 854, 119, 15, 684 is 1
GCD(854, 119, 15, 684) = 1
Given Input numbers are 854, 119, 15, 684
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
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 854, 119, 15, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 119, 15, 684 is 1.
Therefore, GCD of numbers 854, 119, 15, 684 is 1
Given Input Data is 854, 119, 15, 684
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 119 is 7 x 17
Prime Factorization of 15 is 3 x 5
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(854, 119) = 14518
GCD(854, 119) = ( 854 x 119 ) / 14518
GCD(854, 119) = 101626 / 14518
GCD(854, 119) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 15) = 105
GCD(7, 15) = ( 7 x 15 ) / 105
GCD(7, 15) = 105 / 105
GCD(7, 15) = 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 854, 119, 15, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 854, 119, 15, 684?
GCD of 854, 119, 15, 684 is 1
2. Where do I get the detailed procedure to find GCD of 854, 119, 15, 684?
You can find a detailed procedure to find GCD of 854, 119, 15, 684 on our page.
3. How to find GCD of 854, 119, 15, 684 on a calculator?
You can find the GCD of 854, 119, 15, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.