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 49, 737, 733, 404 i.e. 1 largest integer that divides all the numbers equally.
GCD of 49, 737, 733, 404 is 1
GCD(49, 737, 733, 404) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 737, 733, 404 is 1
GCD(49, 737, 733, 404) = 1
Given Input numbers are 49, 737, 733, 404
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Greatest Common Divisior
We found the divisors of 49, 737, 733, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 737, 733, 404 is 1.
Therefore, GCD of numbers 49, 737, 733, 404 is 1
Given Input Data is 49, 737, 733, 404
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 737 is 11 x 67
Prime Factorization of 733 is 733
Prime Factorization of 404 is 2 x 2 x 101
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(49, 737) = 36113
GCD(49, 737) = ( 49 x 737 ) / 36113
GCD(49, 737) = 36113 / 36113
GCD(49, 737) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 733) = 733
GCD(1, 733) = ( 1 x 733 ) / 733
GCD(1, 733) = 733 / 733
GCD(1, 733) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 404) = 404
GCD(1, 404) = ( 1 x 404 ) / 404
GCD(1, 404) = 404 / 404
GCD(1, 404) = 1
GCD of 49, 737, 733, 404 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 49, 737, 733, 404?
GCD of 49, 737, 733, 404 is 1
2. Where do I get the detailed procedure to find GCD of 49, 737, 733, 404?
You can find a detailed procedure to find GCD of 49, 737, 733, 404 on our page.
3. How to find GCD of 49, 737, 733, 404 on a calculator?
You can find the GCD of 49, 737, 733, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.