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 686, 960, 73, 155 i.e. 1 largest integer that divides all the numbers equally.
GCD of 686, 960, 73, 155 is 1
GCD(686, 960, 73, 155) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 686, 960, 73, 155 is 1
GCD(686, 960, 73, 155) = 1
Given Input numbers are 686, 960, 73, 155
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Greatest Common Divisior
We found the divisors of 686, 960, 73, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 960, 73, 155 is 1.
Therefore, GCD of numbers 686, 960, 73, 155 is 1
Given Input Data is 686, 960, 73, 155
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 73 is 73
Prime Factorization of 155 is 5 x 31
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(686, 960) = 329280
GCD(686, 960) = ( 686 x 960 ) / 329280
GCD(686, 960) = 658560 / 329280
GCD(686, 960) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
GCD(1, 155) = 155 / 155
GCD(1, 155) = 1
GCD of 686, 960, 73, 155 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 686, 960, 73, 155?
GCD of 686, 960, 73, 155 is 1
2. Where do I get the detailed procedure to find GCD of 686, 960, 73, 155?
You can find a detailed procedure to find GCD of 686, 960, 73, 155 on our page.
3. How to find GCD of 686, 960, 73, 155 on a calculator?
You can find the GCD of 686, 960, 73, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.