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 180, 701, 52, 865 i.e. 1 largest integer that divides all the numbers equally.
GCD of 180, 701, 52, 865 is 1
GCD(180, 701, 52, 865) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 701, 52, 865 is 1
GCD(180, 701, 52, 865) = 1
Given Input numbers are 180, 701, 52, 865
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Greatest Common Divisior
We found the divisors of 180, 701, 52, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 701, 52, 865 is 1.
Therefore, GCD of numbers 180, 701, 52, 865 is 1
Given Input Data is 180, 701, 52, 865
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 701 is 701
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 865 is 5 x 173
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(180, 701) = 126180
GCD(180, 701) = ( 180 x 701 ) / 126180
GCD(180, 701) = 126180 / 126180
GCD(180, 701) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
GCD of 180, 701, 52, 865 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 180, 701, 52, 865?
GCD of 180, 701, 52, 865 is 1
2. Where do I get the detailed procedure to find GCD of 180, 701, 52, 865?
You can find a detailed procedure to find GCD of 180, 701, 52, 865 on our page.
3. How to find GCD of 180, 701, 52, 865 on a calculator?
You can find the GCD of 180, 701, 52, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.