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 46, 753, 330, 667 i.e. 1 largest integer that divides all the numbers equally.
GCD of 46, 753, 330, 667 is 1
GCD(46, 753, 330, 667) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 753, 330, 667 is 1
GCD(46, 753, 330, 667) = 1
Given Input numbers are 46, 753, 330, 667
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Greatest Common Divisior
We found the divisors of 46, 753, 330, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 753, 330, 667 is 1.
Therefore, GCD of numbers 46, 753, 330, 667 is 1
Given Input Data is 46, 753, 330, 667
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 753 is 3 x 251
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 667 is 23 x 29
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(46, 753) = 34638
GCD(46, 753) = ( 46 x 753 ) / 34638
GCD(46, 753) = 34638 / 34638
GCD(46, 753) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 330) = 330
GCD(1, 330) = ( 1 x 330 ) / 330
GCD(1, 330) = 330 / 330
GCD(1, 330) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 667) = 667
GCD(1, 667) = ( 1 x 667 ) / 667
GCD(1, 667) = 667 / 667
GCD(1, 667) = 1
GCD of 46, 753, 330, 667 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 46, 753, 330, 667?
GCD of 46, 753, 330, 667 is 1
2. Where do I get the detailed procedure to find GCD of 46, 753, 330, 667?
You can find a detailed procedure to find GCD of 46, 753, 330, 667 on our page.
3. How to find GCD of 46, 753, 330, 667 on a calculator?
You can find the GCD of 46, 753, 330, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.