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GCD of 516, 488, 212, 732 Calculator

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


Online GCD Calculator is useful to find the GCD of 516, 488, 212, 732 quickly. Get the easiest ways to solve the greatest common divisor of 516, 488, 212, 732 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 516, 488, 212, 732 with Factoring?

Given Input numbers are 516, 488, 212, 732

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 488 :

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

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

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732


GCD of numbers is the greatest common divisor

So, the GCD (516, 488, 212, 732) = 4.

Find GCD of 516, 488, 212, 732 using Prime Factorization

Given numbers are 516, 488, 212, 732

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

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

Prime factors of 212 are 2 x 2 x 53

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 22

Therefore, GCD of 516, 488, 212, 732 is 4.

Steps to Calculate GCD of 516, 488, 212, 732 using LCM Formula

Given numbers are 516, 488, 212, 732

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

Apply this formula for all numbers.

Step1:

LCM(516, 488) = 62952

GCD(516, 488) = ( 516 x 488 ) / 62952

= 516 / 488

= 516


Step2:

LCM(4, 212) = 212

GCD(4, 212) = ( 4 x 212 ) / 212

= 4 / 212

= 4


Step3:

LCM(4, 732) = 732

GCD(4, 732) = ( 4 x 732 ) / 732

= 4 / 732

= 4


So, Greatest Common Divisor of 516, 488, 212, 732 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 516, 488, 212, 732

Given numbers are 516, 488, 212, 732
The greatest common divisor of numbers 516, 488, 212, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 488, 212, 732 is 4.

FAQs on GCD of 516, 488, 212, 732 Calculator

1. What is the GCD of 516, 488, 212, 732?

GCD of given numbers 516, 488, 212, 732 is 4


2. How to calculate the greatest common divisor of 516, 488, 212, 732?

We can find the highest common divisor of 516, 488, 212, 732 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 516, 488, 212, 732 i.e 4.


3. How can I use the GCD of 516, 488, 212, 732Calculator?

Out the numbers 516, 488, 212, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.