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 789, 552, 32, 899 i.e. 1 largest integer that divides all the numbers equally.
GCD of 789, 552, 32, 899 is 1
GCD(789, 552, 32, 899) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 789, 552, 32, 899 is 1
GCD(789, 552, 32, 899) = 1
Given Input numbers are 789, 552, 32, 899
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Greatest Common Divisior
We found the divisors of 789, 552, 32, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 552, 32, 899 is 1.
Therefore, GCD of numbers 789, 552, 32, 899 is 1
Given Input Data is 789, 552, 32, 899
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 789 is 3 x 263
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 899 is 29 x 31
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(789, 552) = 145176
GCD(789, 552) = ( 789 x 552 ) / 145176
GCD(789, 552) = 435528 / 145176
GCD(789, 552) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 32) = 96
GCD(3, 32) = ( 3 x 32 ) / 96
GCD(3, 32) = 96 / 96
GCD(3, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 899
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 899) = 899
GCD(1, 899) = ( 1 x 899 ) / 899
GCD(1, 899) = 899 / 899
GCD(1, 899) = 1
GCD of 789, 552, 32, 899 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 789, 552, 32, 899?
GCD of 789, 552, 32, 899 is 1
2. Where do I get the detailed procedure to find GCD of 789, 552, 32, 899?
You can find a detailed procedure to find GCD of 789, 552, 32, 899 on our page.
3. How to find GCD of 789, 552, 32, 899 on a calculator?
You can find the GCD of 789, 552, 32, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.