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 432, 269, 799, 661 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 269, 799, 661 is 1
GCD(432, 269, 799, 661) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 269, 799, 661 is 1
GCD(432, 269, 799, 661) = 1
Given Input numbers are 432, 269, 799, 661
To find the GCD of numbers using factoring list out all the divisors of each number
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 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Greatest Common Divisior
We found the divisors of 432, 269, 799, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 269, 799, 661 is 1.
Therefore, GCD of numbers 432, 269, 799, 661 is 1
Given Input Data is 432, 269, 799, 661
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 269 is 269
Prime Factorization of 799 is 17 x 47
Prime Factorization of 661 is 661
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(432, 269) = 116208
GCD(432, 269) = ( 432 x 269 ) / 116208
GCD(432, 269) = 116208 / 116208
GCD(432, 269) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 799) = 799
GCD(1, 799) = ( 1 x 799 ) / 799
GCD(1, 799) = 799 / 799
GCD(1, 799) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 661
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 661) = 661
GCD(1, 661) = ( 1 x 661 ) / 661
GCD(1, 661) = 661 / 661
GCD(1, 661) = 1
GCD of 432, 269, 799, 661 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 269, 799, 661?
GCD of 432, 269, 799, 661 is 1
2. Where do I get the detailed procedure to find GCD of 432, 269, 799, 661?
You can find a detailed procedure to find GCD of 432, 269, 799, 661 on our page.
3. How to find GCD of 432, 269, 799, 661 on a calculator?
You can find the GCD of 432, 269, 799, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.