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 744, 804, 995, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 744, 804, 995, 434 is 1
GCD(744, 804, 995, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 744, 804, 995, 434 is 1
GCD(744, 804, 995, 434) = 1
Given Input numbers are 744, 804, 995, 434
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 744, 804, 995, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 804, 995, 434 is 1.
Therefore, GCD of numbers 744, 804, 995, 434 is 1
Given Input Data is 744, 804, 995, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 995 is 5 x 199
Prime Factorization of 434 is 2 x 7 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(744, 804) = 49848
GCD(744, 804) = ( 744 x 804 ) / 49848
GCD(744, 804) = 598176 / 49848
GCD(744, 804) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 995) = 11940
GCD(12, 995) = ( 12 x 995 ) / 11940
GCD(12, 995) = 11940 / 11940
GCD(12, 995) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 744, 804, 995, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 744, 804, 995, 434?
GCD of 744, 804, 995, 434 is 1
2. Where do I get the detailed procedure to find GCD of 744, 804, 995, 434?
You can find a detailed procedure to find GCD of 744, 804, 995, 434 on our page.
3. How to find GCD of 744, 804, 995, 434 on a calculator?
You can find the GCD of 744, 804, 995, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.