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, 638, 867, 457 i.e. 1 largest integer that divides all the numbers equally.
GCD of 732, 638, 867, 457 is 1
GCD(732, 638, 867, 457) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 732, 638, 867, 457 is 1
GCD(732, 638, 867, 457) = 1
Given Input numbers are 732, 638, 867, 457
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 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Greatest Common Divisior
We found the divisors of 732, 638, 867, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 638, 867, 457 is 1.
Therefore, GCD of numbers 732, 638, 867, 457 is 1
Given Input Data is 732, 638, 867, 457
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 638 is 2 x 11 x 29
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 457 is 457
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, 638) = 233508
GCD(732, 638) = ( 732 x 638 ) / 233508
GCD(732, 638) = 467016 / 233508
GCD(732, 638) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 867
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 867) = 1734
GCD(2, 867) = ( 2 x 867 ) / 1734
GCD(2, 867) = 1734 / 1734
GCD(2, 867) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 457
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 457) = 457
GCD(1, 457) = ( 1 x 457 ) / 457
GCD(1, 457) = 457 / 457
GCD(1, 457) = 1
GCD of 732, 638, 867, 457 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 732, 638, 867, 457?
GCD of 732, 638, 867, 457 is 1
2. Where do I get the detailed procedure to find GCD of 732, 638, 867, 457?
You can find a detailed procedure to find GCD of 732, 638, 867, 457 on our page.
3. How to find GCD of 732, 638, 867, 457 on a calculator?
You can find the GCD of 732, 638, 867, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.