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 732, 904, 63, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 732, 904, 63, 649 is 1
GCD(732, 904, 63, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 732, 904, 63, 649 is 1
GCD(732, 904, 63, 649) = 1
Given Input numbers are 732, 904, 63, 649
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 732, 904, 63, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 904, 63, 649 is 1.
Therefore, GCD of numbers 732, 904, 63, 649 is 1
Given Input Data is 732, 904, 63, 649
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 649 is 11 x 59
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(732, 904) = 165432
GCD(732, 904) = ( 732 x 904 ) / 165432
GCD(732, 904) = 661728 / 165432
GCD(732, 904) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 63) = 252
GCD(4, 63) = ( 4 x 63 ) / 252
GCD(4, 63) = 252 / 252
GCD(4, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 1
GCD of 732, 904, 63, 649 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 732, 904, 63, 649?
GCD of 732, 904, 63, 649 is 1
2. Where do I get the detailed procedure to find GCD of 732, 904, 63, 649?
You can find a detailed procedure to find GCD of 732, 904, 63, 649 on our page.
3. How to find GCD of 732, 904, 63, 649 on a calculator?
You can find the GCD of 732, 904, 63, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.