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 385, 798, 512, 744 i.e. 1 largest integer that divides all the numbers equally.
GCD of 385, 798, 512, 744 is 1
GCD(385, 798, 512, 744) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 385, 798, 512, 744 is 1
GCD(385, 798, 512, 744) = 1
Given Input numbers are 385, 798, 512, 744
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
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
Greatest Common Divisior
We found the divisors of 385, 798, 512, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 798, 512, 744 is 1.
Therefore, GCD of numbers 385, 798, 512, 744 is 1
Given Input Data is 385, 798, 512, 744
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 744 is 2 x 2 x 2 x 3 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(385, 798) = 43890
GCD(385, 798) = ( 385 x 798 ) / 43890
GCD(385, 798) = 307230 / 43890
GCD(385, 798) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 512
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 512) = 3584
GCD(7, 512) = ( 7 x 512 ) / 3584
GCD(7, 512) = 3584 / 3584
GCD(7, 512) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 744
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 744) = 744
GCD(1, 744) = ( 1 x 744 ) / 744
GCD(1, 744) = 744 / 744
GCD(1, 744) = 1
GCD of 385, 798, 512, 744 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 385, 798, 512, 744?
GCD of 385, 798, 512, 744 is 1
2. Where do I get the detailed procedure to find GCD of 385, 798, 512, 744?
You can find a detailed procedure to find GCD of 385, 798, 512, 744 on our page.
3. How to find GCD of 385, 798, 512, 744 on a calculator?
You can find the GCD of 385, 798, 512, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.