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 185, 685, 959, 540 i.e. 1 largest integer that divides all the numbers equally.
GCD of 185, 685, 959, 540 is 1
GCD(185, 685, 959, 540) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 185, 685, 959, 540 is 1
GCD(185, 685, 959, 540) = 1
Given Input numbers are 185, 685, 959, 540
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Greatest Common Divisior
We found the divisors of 185, 685, 959, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 685, 959, 540 is 1.
Therefore, GCD of numbers 185, 685, 959, 540 is 1
Given Input Data is 185, 685, 959, 540
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 185 is 5 x 37
Prime Factorization of 685 is 5 x 137
Prime Factorization of 959 is 7 x 137
Prime Factorization of 540 is 2 x 2 x 3 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(185, 685) = 25345
GCD(185, 685) = ( 185 x 685 ) / 25345
GCD(185, 685) = 126725 / 25345
GCD(185, 685) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 959) = 4795
GCD(5, 959) = ( 5 x 959 ) / 4795
GCD(5, 959) = 4795 / 4795
GCD(5, 959) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
GCD(1, 540) = 540 / 540
GCD(1, 540) = 1
GCD of 185, 685, 959, 540 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 185, 685, 959, 540?
GCD of 185, 685, 959, 540 is 1
2. Where do I get the detailed procedure to find GCD of 185, 685, 959, 540?
You can find a detailed procedure to find GCD of 185, 685, 959, 540 on our page.
3. How to find GCD of 185, 685, 959, 540 on a calculator?
You can find the GCD of 185, 685, 959, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.