GCD of 319, 296, 59 Calculator
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 319, 296, 59 i.e. 1 largest integer that divides all the numbers equally.
GCD of 319, 296, 59 is 1
GCD(319, 296, 59) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 319, 296, 59 is 1
GCD(319, 296, 59) = 1
GCDof 319,296,59 is 1
Given Input numbers are 319, 296, 59
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Greatest Common Divisior
We found the divisors of 319, 296, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 296, 59 is 1.
Therefore, GCD of numbers 319, 296, 59 is 1
Given Input Data is 319, 296, 59
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 319 is 11 x 29
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 59 is 59
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 319, 296, 59 using LCM Formula
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(319, 296) = 94424
GCD(319, 296) = ( 319 x 296 ) / 94424
GCD(319, 296) = 94424 / 94424
GCD(319, 296) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
GCD of 319, 296, 59 is 1
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FAQs on GCD of numbers 319, 296, 59
1. What is the GCD of 319, 296, 59?
GCD of 319, 296, 59 is 1
2. Where do I get the detailed procedure to find GCD of 319, 296, 59?
You can find a detailed procedure to find GCD of 319, 296, 59 on our page.
3. How to find GCD of 319, 296, 59 on a calculator?
You can find the GCD of 319, 296, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
