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 663, 765, 640, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 663, 765, 640, 153 is 1
GCD(663, 765, 640, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 663, 765, 640, 153 is 1
GCD(663, 765, 640, 153) = 1
Given Input numbers are 663, 765, 640, 153
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 663, 765, 640, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 765, 640, 153 is 1.
Therefore, GCD of numbers 663, 765, 640, 153 is 1
Given Input Data is 663, 765, 640, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 153 is 3 x 3 x 17
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(663, 765) = 9945
GCD(663, 765) = ( 663 x 765 ) / 9945
GCD(663, 765) = 507195 / 9945
GCD(663, 765) = 51
Step2:
Here we consider the GCD from the above i.e. 51 as first number and the next as 640
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(51, 640) = 32640
GCD(51, 640) = ( 51 x 640 ) / 32640
GCD(51, 640) = 32640 / 32640
GCD(51, 640) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
GCD of 663, 765, 640, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 663, 765, 640, 153?
GCD of 663, 765, 640, 153 is 1
2. Where do I get the detailed procedure to find GCD of 663, 765, 640, 153?
You can find a detailed procedure to find GCD of 663, 765, 640, 153 on our page.
3. How to find GCD of 663, 765, 640, 153 on a calculator?
You can find the GCD of 663, 765, 640, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.