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, 297, 818, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 732, 297, 818, 753 is 1
GCD(732, 297, 818, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 732, 297, 818, 753 is 1
GCD(732, 297, 818, 753) = 1
Given Input numbers are 732, 297, 818, 753
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 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 732, 297, 818, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 297, 818, 753 is 1.
Therefore, GCD of numbers 732, 297, 818, 753 is 1
Given Input Data is 732, 297, 818, 753
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 297 is 3 x 3 x 3 x 11
Prime Factorization of 818 is 2 x 409
Prime Factorization of 753 is 3 x 251
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, 297) = 72468
GCD(732, 297) = ( 732 x 297 ) / 72468
GCD(732, 297) = 217404 / 72468
GCD(732, 297) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 818
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 818) = 2454
GCD(3, 818) = ( 3 x 818 ) / 2454
GCD(3, 818) = 2454 / 2454
GCD(3, 818) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
GCD of 732, 297, 818, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 732, 297, 818, 753?
GCD of 732, 297, 818, 753 is 1
2. Where do I get the detailed procedure to find GCD of 732, 297, 818, 753?
You can find a detailed procedure to find GCD of 732, 297, 818, 753 on our page.
3. How to find GCD of 732, 297, 818, 753 on a calculator?
You can find the GCD of 732, 297, 818, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.