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 63, 330, 200, 759 i.e. 1 largest integer that divides all the numbers equally.
GCD of 63, 330, 200, 759 is 1
GCD(63, 330, 200, 759) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 63, 330, 200, 759 is 1
GCD(63, 330, 200, 759) = 1
Given Input numbers are 63, 330, 200, 759
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
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 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Greatest Common Divisior
We found the divisors of 63, 330, 200, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 330, 200, 759 is 1.
Therefore, GCD of numbers 63, 330, 200, 759 is 1
Given Input Data is 63, 330, 200, 759
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 759 is 3 x 11 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(63, 330) = 6930
GCD(63, 330) = ( 63 x 330 ) / 6930
GCD(63, 330) = 20790 / 6930
GCD(63, 330) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 200) = 600
GCD(3, 200) = ( 3 x 200 ) / 600
GCD(3, 200) = 600 / 600
GCD(3, 200) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 759
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 759) = 759
GCD(1, 759) = ( 1 x 759 ) / 759
GCD(1, 759) = 759 / 759
GCD(1, 759) = 1
GCD of 63, 330, 200, 759 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 63, 330, 200, 759?
GCD of 63, 330, 200, 759 is 1
2. Where do I get the detailed procedure to find GCD of 63, 330, 200, 759?
You can find a detailed procedure to find GCD of 63, 330, 200, 759 on our page.
3. How to find GCD of 63, 330, 200, 759 on a calculator?
You can find the GCD of 63, 330, 200, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.