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 790, 577, 85, 912 i.e. 1 largest integer that divides all the numbers equally.
GCD of 790, 577, 85, 912 is 1
GCD(790, 577, 85, 912) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 790, 577, 85, 912 is 1
GCD(790, 577, 85, 912) = 1
Given Input numbers are 790, 577, 85, 912
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Greatest Common Divisior
We found the divisors of 790, 577, 85, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 577, 85, 912 is 1.
Therefore, GCD of numbers 790, 577, 85, 912 is 1
Given Input Data is 790, 577, 85, 912
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 577 is 577
Prime Factorization of 85 is 5 x 17
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
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(790, 577) = 455830
GCD(790, 577) = ( 790 x 577 ) / 455830
GCD(790, 577) = 455830 / 455830
GCD(790, 577) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
GCD(1, 912) = 912 / 912
GCD(1, 912) = 1
GCD of 790, 577, 85, 912 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 790, 577, 85, 912?
GCD of 790, 577, 85, 912 is 1
2. Where do I get the detailed procedure to find GCD of 790, 577, 85, 912?
You can find a detailed procedure to find GCD of 790, 577, 85, 912 on our page.
3. How to find GCD of 790, 577, 85, 912 on a calculator?
You can find the GCD of 790, 577, 85, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.