LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 586, 720, 712 Calculator

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


Online GCD Calculator is useful to find the GCD of 586, 720, 712 quickly. Get the easiest ways to solve the greatest common divisor of 586, 720, 712 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 586, 720, 712 with Factoring?

Given Input numbers are 586, 720, 712

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

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712


GCD of numbers is the greatest common divisor

So, the GCD (586, 720, 712) = 2.

Find GCD of 586, 720, 712 using Prime Factorization

Given numbers are 586, 720, 712

The list of prime factors of all numbers are

Prime factors of 586 are 2 x 293

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 712 are 2 x 2 x 2 x 89

The highest common occurrence is 21

Therefore, GCD of 586, 720, 712 is 2.

Steps to Calculate GCD of 586, 720, 712 using LCM Formula

Given numbers are 586, 720, 712

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

Apply this formula for all numbers.

Step1:

LCM(586, 720) = 210960

GCD(586, 720) = ( 586 x 720 ) / 210960

= 586 / 720

= 586


Step2:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2


So, Greatest Common Divisor of 586, 720, 712 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 586, 720, 712

Given numbers are 586, 720, 712
The greatest common divisor of numbers 586, 720, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 586, 720, 712 is 2.

FAQs on GCD of 586, 720, 712 Calculator

1. What is the GCD of 586, 720, 712?

GCD of given numbers 586, 720, 712 is 2


2. How to calculate the greatest common divisor of 586, 720, 712?

We can find the highest common divisor of 586, 720, 712 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 586, 720, 712 i.e 2.


3. How can I use the GCD of 586, 720, 712Calculator?

Out the numbers 586, 720, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.