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 685, 351, 54, 108 i.e. 1 largest integer that divides all the numbers equally.
GCD of 685, 351, 54, 108 is 1
GCD(685, 351, 54, 108) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 685, 351, 54, 108 is 1
GCD(685, 351, 54, 108) = 1
Given Input numbers are 685, 351, 54, 108
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Greatest Common Divisior
We found the divisors of 685, 351, 54, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 351, 54, 108 is 1.
Therefore, GCD of numbers 685, 351, 54, 108 is 1
Given Input Data is 685, 351, 54, 108
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 685 is 5 x 137
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
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(685, 351) = 240435
GCD(685, 351) = ( 685 x 351 ) / 240435
GCD(685, 351) = 240435 / 240435
GCD(685, 351) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
GCD(1, 54) = 54 / 54
GCD(1, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 108
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
GCD(1, 108) = 108 / 108
GCD(1, 108) = 1
GCD of 685, 351, 54, 108 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 685, 351, 54, 108?
GCD of 685, 351, 54, 108 is 1
2. Where do I get the detailed procedure to find GCD of 685, 351, 54, 108?
You can find a detailed procedure to find GCD of 685, 351, 54, 108 on our page.
3. How to find GCD of 685, 351, 54, 108 on a calculator?
You can find the GCD of 685, 351, 54, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.