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 733, 200, 71, 608 i.e. 1 largest integer that divides all the numbers equally.
GCD of 733, 200, 71, 608 is 1
GCD(733, 200, 71, 608) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 733, 200, 71, 608 is 1
GCD(733, 200, 71, 608) = 1
Given Input numbers are 733, 200, 71, 608
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Greatest Common Divisior
We found the divisors of 733, 200, 71, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 200, 71, 608 is 1.
Therefore, GCD of numbers 733, 200, 71, 608 is 1
Given Input Data is 733, 200, 71, 608
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 733 is 733
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 71 is 71
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
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(733, 200) = 146600
GCD(733, 200) = ( 733 x 200 ) / 146600
GCD(733, 200) = 146600 / 146600
GCD(733, 200) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 608
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 608) = 608
GCD(1, 608) = ( 1 x 608 ) / 608
GCD(1, 608) = 608 / 608
GCD(1, 608) = 1
GCD of 733, 200, 71, 608 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 733, 200, 71, 608?
GCD of 733, 200, 71, 608 is 1
2. Where do I get the detailed procedure to find GCD of 733, 200, 71, 608?
You can find a detailed procedure to find GCD of 733, 200, 71, 608 on our page.
3. How to find GCD of 733, 200, 71, 608 on a calculator?
You can find the GCD of 733, 200, 71, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.