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GCD of 308, 636, 556, 508 Calculator

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


Online GCD Calculator is useful to find the GCD of 308, 636, 556, 508 quickly. Get the easiest ways to solve the greatest common divisor of 308, 636, 556, 508 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 308, 636, 556, 508 with Factoring?

Given Input numbers are 308, 636, 556, 508

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508


GCD of numbers is the greatest common divisor

So, the GCD (308, 636, 556, 508) = 4.

Find GCD of 308, 636, 556, 508 using Prime Factorization

Given numbers are 308, 636, 556, 508

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 556 are 2 x 2 x 139

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 22

Therefore, GCD of 308, 636, 556, 508 is 4.

Steps to Calculate GCD of 308, 636, 556, 508 using LCM Formula

Given numbers are 308, 636, 556, 508

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

Apply this formula for all numbers.

Step1:

LCM(308, 636) = 48972

GCD(308, 636) = ( 308 x 636 ) / 48972

= 308 / 636

= 308


Step2:

LCM(4, 556) = 556

GCD(4, 556) = ( 4 x 556 ) / 556

= 4 / 556

= 4


Step3:

LCM(4, 508) = 508

GCD(4, 508) = ( 4 x 508 ) / 508

= 4 / 508

= 4


So, Greatest Common Divisor of 308, 636, 556, 508 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 308, 636, 556, 508

Given numbers are 308, 636, 556, 508
The greatest common divisor of numbers 308, 636, 556, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 636, 556, 508 is 4.

FAQs on GCD of 308, 636, 556, 508 Calculator

1. What is the GCD of 308, 636, 556, 508?

GCD of given numbers 308, 636, 556, 508 is 4


2. How to calculate the greatest common divisor of 308, 636, 556, 508?

We can find the highest common divisor of 308, 636, 556, 508 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 308, 636, 556, 508 i.e 4.


3. How can I use the GCD of 308, 636, 556, 508Calculator?

Out the numbers 308, 636, 556, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.