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 73, 520, 861, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 520, 861, 135 is 1
GCD(73, 520, 861, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 520, 861, 135 is 1
GCD(73, 520, 861, 135) = 1
Given Input numbers are 73, 520, 861, 135
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 73, 520, 861, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 520, 861, 135 is 1.
Therefore, GCD of numbers 73, 520, 861, 135 is 1
Given Input Data is 73, 520, 861, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 135 is 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(73, 520) = 37960
GCD(73, 520) = ( 73 x 520 ) / 37960
GCD(73, 520) = 37960 / 37960
GCD(73, 520) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 861) = 861
GCD(1, 861) = ( 1 x 861 ) / 861
GCD(1, 861) = 861 / 861
GCD(1, 861) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
GCD of 73, 520, 861, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 520, 861, 135?
GCD of 73, 520, 861, 135 is 1
2. Where do I get the detailed procedure to find GCD of 73, 520, 861, 135?
You can find a detailed procedure to find GCD of 73, 520, 861, 135 on our page.
3. How to find GCD of 73, 520, 861, 135 on a calculator?
You can find the GCD of 73, 520, 861, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.