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 764, 432, 80, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 764, 432, 80, 649 is 1
GCD(764, 432, 80, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 764, 432, 80, 649 is 1
GCD(764, 432, 80, 649) = 1
Given Input numbers are 764, 432, 80, 649
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 764, 432, 80, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 432, 80, 649 is 1.
Therefore, GCD of numbers 764, 432, 80, 649 is 1
Given Input Data is 764, 432, 80, 649
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 649 is 11 x 59
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(764, 432) = 82512
GCD(764, 432) = ( 764 x 432 ) / 82512
GCD(764, 432) = 330048 / 82512
GCD(764, 432) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 80) = 80
GCD(4, 80) = ( 4 x 80 ) / 80
GCD(4, 80) = 320 / 80
GCD(4, 80) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 649) = 2596
GCD(4, 649) = ( 4 x 649 ) / 2596
GCD(4, 649) = 2596 / 2596
GCD(4, 649) = 1
GCD of 764, 432, 80, 649 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 764, 432, 80, 649?
GCD of 764, 432, 80, 649 is 1
2. Where do I get the detailed procedure to find GCD of 764, 432, 80, 649?
You can find a detailed procedure to find GCD of 764, 432, 80, 649 on our page.
3. How to find GCD of 764, 432, 80, 649 on a calculator?
You can find the GCD of 764, 432, 80, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.