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 580, 710, 58, 334 i.e. 2 largest integer that divides all the numbers equally.
GCD of 580, 710, 58, 334 is 2
GCD(580, 710, 58, 334) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 580, 710, 58, 334 is 2
GCD(580, 710, 58, 334) = 2
Given Input numbers are 580, 710, 58, 334
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Greatest Common Divisior
We found the divisors of 580, 710, 58, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 710, 58, 334 is 2.
Therefore, GCD of numbers 580, 710, 58, 334 is 2
Given Input Data is 580, 710, 58, 334
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 58 is 2 x 29
Prime Factorization of 334 is 2 x 167
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(580, 710) = 41180
GCD(580, 710) = ( 580 x 710 ) / 41180
GCD(580, 710) = 411800 / 41180
GCD(580, 710) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 58) = 290
GCD(10, 58) = ( 10 x 58 ) / 290
GCD(10, 58) = 580 / 290
GCD(10, 58) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 334) = 334
GCD(2, 334) = ( 2 x 334 ) / 334
GCD(2, 334) = 668 / 334
GCD(2, 334) = 2
GCD of 580, 710, 58, 334 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 580, 710, 58, 334?
GCD of 580, 710, 58, 334 is 2
2. Where do I get the detailed procedure to find GCD of 580, 710, 58, 334?
You can find a detailed procedure to find GCD of 580, 710, 58, 334 on our page.
3. How to find GCD of 580, 710, 58, 334 on a calculator?
You can find the GCD of 580, 710, 58, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.