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GCD of 516, 764, 848, 336 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, 764, 848, 336 quickly. Get the easiest ways to solve the greatest common divisor of 516, 764, 848, 336 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 516, 764, 848, 336 with Factoring?

Given Input numbers are 516, 764, 848, 336

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 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336


GCD of numbers is the greatest common divisor

So, the GCD (516, 764, 848, 336) = 4.

Find GCD of 516, 764, 848, 336 using Prime Factorization

Given numbers are 516, 764, 848, 336

The list of prime factors of all numbers are

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

Prime factors of 764 are 2 x 2 x 191

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 22

Therefore, GCD of 516, 764, 848, 336 is 4.

Steps to Calculate GCD of 516, 764, 848, 336 using LCM Formula

Given numbers are 516, 764, 848, 336

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

Apply this formula for all numbers.

Step1:

LCM(516, 764) = 98556

GCD(516, 764) = ( 516 x 764 ) / 98556

= 516 / 764

= 516


Step2:

LCM(4, 848) = 848

GCD(4, 848) = ( 4 x 848 ) / 848

= 4 / 848

= 4


Step3:

LCM(4, 336) = 336

GCD(4, 336) = ( 4 x 336 ) / 336

= 4 / 336

= 4


So, Greatest Common Divisor of 516, 764, 848, 336 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 516, 764, 848, 336

Given numbers are 516, 764, 848, 336
The greatest common divisor of numbers 516, 764, 848, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 764, 848, 336 is 4.

FAQs on GCD of 516, 764, 848, 336 Calculator

1. What is the GCD of 516, 764, 848, 336?

GCD of given numbers 516, 764, 848, 336 is 4


2. How to calculate the greatest common divisor of 516, 764, 848, 336?

We can find the highest common divisor of 516, 764, 848, 336 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, 764, 848, 336 i.e 4.


3. How can I use the GCD of 516, 764, 848, 336Calculator?

Out the numbers 516, 764, 848, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.