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 582, 488, 668, 772 Calculator

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


Online GCD Calculator is useful to find the GCD of 582, 488, 668, 772 quickly. Get the easiest ways to solve the greatest common divisor of 582, 488, 668, 772 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 582, 488, 668, 772 with Factoring?

Given Input numbers are 582, 488, 668, 772

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

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772


GCD of numbers is the greatest common divisor

So, the GCD (582, 488, 668, 772) = 2.

Find GCD of 582, 488, 668, 772 using Prime Factorization

Given numbers are 582, 488, 668, 772

The list of prime factors of all numbers are

Prime factors of 582 are 2 x 3 x 97

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 668 are 2 x 2 x 167

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 21

Therefore, GCD of 582, 488, 668, 772 is 2.

Steps to Calculate GCD of 582, 488, 668, 772 using LCM Formula

Given numbers are 582, 488, 668, 772

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

Apply this formula for all numbers.

Step1:

LCM(582, 488) = 142008

GCD(582, 488) = ( 582 x 488 ) / 142008

= 582 / 488

= 582


Step2:

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

= 2 / 668

= 2


Step3:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2


So, Greatest Common Divisor of 582, 488, 668, 772 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 582, 488, 668, 772

Given numbers are 582, 488, 668, 772
The greatest common divisor of numbers 582, 488, 668, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 582, 488, 668, 772 is 2.

FAQs on GCD of 582, 488, 668, 772 Calculator

1. What is the GCD of 582, 488, 668, 772?

GCD of given numbers 582, 488, 668, 772 is 2


2. How to calculate the greatest common divisor of 582, 488, 668, 772?

We can find the highest common divisor of 582, 488, 668, 772 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 582, 488, 668, 772 i.e 2.


3. How can I use the GCD of 582, 488, 668, 772Calculator?

Out the numbers 582, 488, 668, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.