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 753, 642, 999, 437 i.e. 1 largest integer that divides all the numbers equally.
GCD of 753, 642, 999, 437 is 1
GCD(753, 642, 999, 437) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 753, 642, 999, 437 is 1
GCD(753, 642, 999, 437) = 1
Given Input numbers are 753, 642, 999, 437
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Greatest Common Divisior
We found the divisors of 753, 642, 999, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 642, 999, 437 is 1.
Therefore, GCD of numbers 753, 642, 999, 437 is 1
Given Input Data is 753, 642, 999, 437
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 753 is 3 x 251
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 437 is 19 x 23
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(753, 642) = 161142
GCD(753, 642) = ( 753 x 642 ) / 161142
GCD(753, 642) = 483426 / 161142
GCD(753, 642) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 999) = 999
GCD(3, 999) = ( 3 x 999 ) / 999
GCD(3, 999) = 2997 / 999
GCD(3, 999) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 437) = 1311
GCD(3, 437) = ( 3 x 437 ) / 1311
GCD(3, 437) = 1311 / 1311
GCD(3, 437) = 1
GCD of 753, 642, 999, 437 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 753, 642, 999, 437?
GCD of 753, 642, 999, 437 is 1
2. Where do I get the detailed procedure to find GCD of 753, 642, 999, 437?
You can find a detailed procedure to find GCD of 753, 642, 999, 437 on our page.
3. How to find GCD of 753, 642, 999, 437 on a calculator?
You can find the GCD of 753, 642, 999, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.