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, 468, 421, 701 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 468, 421, 701 is 1
GCD(73, 468, 421, 701) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 468, 421, 701 is 1
GCD(73, 468, 421, 701) = 1
Given Input numbers are 73, 468, 421, 701
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 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Greatest Common Divisior
We found the divisors of 73, 468, 421, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 468, 421, 701 is 1.
Therefore, GCD of numbers 73, 468, 421, 701 is 1
Given Input Data is 73, 468, 421, 701
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 421 is 421
Prime Factorization of 701 is 701
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, 468) = 34164
GCD(73, 468) = ( 73 x 468 ) / 34164
GCD(73, 468) = 34164 / 34164
GCD(73, 468) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
GCD(1, 421) = 421 / 421
GCD(1, 421) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
GCD(1, 701) = 701 / 701
GCD(1, 701) = 1
GCD of 73, 468, 421, 701 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 468, 421, 701?
GCD of 73, 468, 421, 701 is 1
2. Where do I get the detailed procedure to find GCD of 73, 468, 421, 701?
You can find a detailed procedure to find GCD of 73, 468, 421, 701 on our page.
3. How to find GCD of 73, 468, 421, 701 on a calculator?
You can find the GCD of 73, 468, 421, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.