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GCD of 580, 958, 482, 312 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 580, 958, 482, 312 quickly. Get the easiest ways to solve the greatest common divisor of 580, 958, 482, 312 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 580, 958, 482, 312 with Factoring?

Given Input numbers are 580, 958, 482, 312

In the factoring method, we have to find the divisors of all numbers

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 482 :

The positive integer divisors of 482 that completely divides 482 are.

1, 2, 241, 482

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312


GCD of numbers is the greatest common divisor

So, the GCD (580, 958, 482, 312) = 2.

Find GCD of 580, 958, 482, 312 using Prime Factorization

Given numbers are 580, 958, 482, 312

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 958 are 2 x 479

Prime factors of 482 are 2 x 241

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 21

Therefore, GCD of 580, 958, 482, 312 is 2.

Steps to Calculate GCD of 580, 958, 482, 312 using LCM Formula

Given numbers are 580, 958, 482, 312

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(580, 958) = 277820

GCD(580, 958) = ( 580 x 958 ) / 277820

= 580 / 958

= 580


Step2:

LCM(2, 482) = 482

GCD(2, 482) = ( 2 x 482 ) / 482

= 2 / 482

= 2


Step3:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2


So, Greatest Common Divisor of 580, 958, 482, 312 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 580, 958, 482, 312

Given numbers are 580, 958, 482, 312
The greatest common divisor of numbers 580, 958, 482, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 958, 482, 312 is 2.

FAQs on GCD of 580, 958, 482, 312 Calculator

1. What is the GCD of 580, 958, 482, 312?

GCD of given numbers 580, 958, 482, 312 is 2


2. How to calculate the greatest common divisor of 580, 958, 482, 312?

We can find the highest common divisor of 580, 958, 482, 312 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 580, 958, 482, 312 i.e 2.


3. How can I use the GCD of 580, 958, 482, 312Calculator?

Out the numbers 580, 958, 482, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.