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 35, 791, 159, 540 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 791, 159, 540 is 1
GCD(35, 791, 159, 540) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 791, 159, 540 is 1
GCD(35, 791, 159, 540) = 1
Given Input numbers are 35, 791, 159, 540
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
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 35, 791, 159, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 791, 159, 540 is 1.
Therefore, GCD of numbers 35, 791, 159, 540 is 1
Given Input Data is 35, 791, 159, 540
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 791 is 7 x 113
Prime Factorization of 159 is 3 x 53
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(35, 791) = 3955
GCD(35, 791) = ( 35 x 791 ) / 3955
GCD(35, 791) = 27685 / 3955
GCD(35, 791) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 159) = 1113
GCD(7, 159) = ( 7 x 159 ) / 1113
GCD(7, 159) = 1113 / 1113
GCD(7, 159) = 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 35, 791, 159, 540 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 791, 159, 540?
GCD of 35, 791, 159, 540 is 1
2. Where do I get the detailed procedure to find GCD of 35, 791, 159, 540?
You can find a detailed procedure to find GCD of 35, 791, 159, 540 on our page.
3. How to find GCD of 35, 791, 159, 540 on a calculator?
You can find the GCD of 35, 791, 159, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.