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, 664, 985, 902 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 664, 985, 902 is 1
GCD(73, 664, 985, 902) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 664, 985, 902 is 1
GCD(73, 664, 985, 902) = 1
Given Input numbers are 73, 664, 985, 902
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 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Greatest Common Divisior
We found the divisors of 73, 664, 985, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 664, 985, 902 is 1.
Therefore, GCD of numbers 73, 664, 985, 902 is 1
Given Input Data is 73, 664, 985, 902
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 985 is 5 x 197
Prime Factorization of 902 is 2 x 11 x 41
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, 664) = 48472
GCD(73, 664) = ( 73 x 664 ) / 48472
GCD(73, 664) = 48472 / 48472
GCD(73, 664) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 985) = 985
GCD(1, 985) = ( 1 x 985 ) / 985
GCD(1, 985) = 985 / 985
GCD(1, 985) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 902
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 902) = 902
GCD(1, 902) = ( 1 x 902 ) / 902
GCD(1, 902) = 902 / 902
GCD(1, 902) = 1
GCD of 73, 664, 985, 902 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 664, 985, 902?
GCD of 73, 664, 985, 902 is 1
2. Where do I get the detailed procedure to find GCD of 73, 664, 985, 902?
You can find a detailed procedure to find GCD of 73, 664, 985, 902 on our page.
3. How to find GCD of 73, 664, 985, 902 on a calculator?
You can find the GCD of 73, 664, 985, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.