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 584, 344, 79, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 584, 344, 79, 346 is 1
GCD(584, 344, 79, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 584, 344, 79, 346 is 1
GCD(584, 344, 79, 346) = 1
Given Input numbers are 584, 344, 79, 346
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 584, 344, 79, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 344, 79, 346 is 1.
Therefore, GCD of numbers 584, 344, 79, 346 is 1
Given Input Data is 584, 344, 79, 346
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 79 is 79
Prime Factorization of 346 is 2 x 173
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(584, 344) = 25112
GCD(584, 344) = ( 584 x 344 ) / 25112
GCD(584, 344) = 200896 / 25112
GCD(584, 344) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 79) = 632
GCD(8, 79) = ( 8 x 79 ) / 632
GCD(8, 79) = 632 / 632
GCD(8, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
GCD of 584, 344, 79, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 584, 344, 79, 346?
GCD of 584, 344, 79, 346 is 1
2. Where do I get the detailed procedure to find GCD of 584, 344, 79, 346?
You can find a detailed procedure to find GCD of 584, 344, 79, 346 on our page.
3. How to find GCD of 584, 344, 79, 346 on a calculator?
You can find the GCD of 584, 344, 79, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.