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, 601, 135, 614 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 601, 135, 614 is 1
GCD(73, 601, 135, 614) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 601, 135, 614 is 1
GCD(73, 601, 135, 614) = 1
Given Input numbers are 73, 601, 135, 614
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 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Greatest Common Divisior
We found the divisors of 73, 601, 135, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 601, 135, 614 is 1.
Therefore, GCD of numbers 73, 601, 135, 614 is 1
Given Input Data is 73, 601, 135, 614
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 601 is 601
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 614 is 2 x 307
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, 601) = 43873
GCD(73, 601) = ( 73 x 601 ) / 43873
GCD(73, 601) = 43873 / 43873
GCD(73, 601) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 614
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 614) = 614
GCD(1, 614) = ( 1 x 614 ) / 614
GCD(1, 614) = 614 / 614
GCD(1, 614) = 1
GCD of 73, 601, 135, 614 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 601, 135, 614?
GCD of 73, 601, 135, 614 is 1
2. Where do I get the detailed procedure to find GCD of 73, 601, 135, 614?
You can find a detailed procedure to find GCD of 73, 601, 135, 614 on our page.
3. How to find GCD of 73, 601, 135, 614 on a calculator?
You can find the GCD of 73, 601, 135, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.