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, 844, 757, 783 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 844, 757, 783 is 1
GCD(432, 844, 757, 783) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 844, 757, 783 is 1
GCD(432, 844, 757, 783) = 1
Given Input numbers are 432, 844, 757, 783
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 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Greatest Common Divisior
We found the divisors of 432, 844, 757, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 844, 757, 783 is 1.
Therefore, GCD of numbers 432, 844, 757, 783 is 1
Given Input Data is 432, 844, 757, 783
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 844 is 2 x 2 x 211
Prime Factorization of 757 is 757
Prime Factorization of 783 is 3 x 3 x 3 x 29
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, 844) = 91152
GCD(432, 844) = ( 432 x 844 ) / 91152
GCD(432, 844) = 364608 / 91152
GCD(432, 844) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 757) = 3028
GCD(4, 757) = ( 4 x 757 ) / 3028
GCD(4, 757) = 3028 / 3028
GCD(4, 757) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 783
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 783) = 783
GCD(1, 783) = ( 1 x 783 ) / 783
GCD(1, 783) = 783 / 783
GCD(1, 783) = 1
GCD of 432, 844, 757, 783 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 844, 757, 783?
GCD of 432, 844, 757, 783 is 1
2. Where do I get the detailed procedure to find GCD of 432, 844, 757, 783?
You can find a detailed procedure to find GCD of 432, 844, 757, 783 on our page.
3. How to find GCD of 432, 844, 757, 783 on a calculator?
You can find the GCD of 432, 844, 757, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.