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GCD of 356, 396, 656, 308 Calculator

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


Online GCD Calculator is useful to find the GCD of 356, 396, 656, 308 quickly. Get the easiest ways to solve the greatest common divisor of 356, 396, 656, 308 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 356, 396, 656, 308 with Factoring?

Given Input numbers are 356, 396, 656, 308

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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


GCD of numbers is the greatest common divisor

So, the GCD (356, 396, 656, 308) = 4.

Find GCD of 356, 396, 656, 308 using Prime Factorization

Given numbers are 356, 396, 656, 308

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

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

The highest common occurrence is 22

Therefore, GCD of 356, 396, 656, 308 is 4.

Steps to Calculate GCD of 356, 396, 656, 308 using LCM Formula

Given numbers are 356, 396, 656, 308

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

Apply this formula for all numbers.

Step1:

LCM(356, 396) = 35244

GCD(356, 396) = ( 356 x 396 ) / 35244

= 356 / 396

= 356


Step2:

LCM(4, 656) = 656

GCD(4, 656) = ( 4 x 656 ) / 656

= 4 / 656

= 4


Step3:

LCM(4, 308) = 308

GCD(4, 308) = ( 4 x 308 ) / 308

= 4 / 308

= 4


So, Greatest Common Divisor of 356, 396, 656, 308 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 356, 396, 656, 308

Given numbers are 356, 396, 656, 308
The greatest common divisor of numbers 356, 396, 656, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 396, 656, 308 is 4.

FAQs on GCD of 356, 396, 656, 308 Calculator

1. What is the GCD of 356, 396, 656, 308?

GCD of given numbers 356, 396, 656, 308 is 4


2. How to calculate the greatest common divisor of 356, 396, 656, 308?

We can find the highest common divisor of 356, 396, 656, 308 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 356, 396, 656, 308 i.e 4.


3. How can I use the GCD of 356, 396, 656, 308Calculator?

Out the numbers 356, 396, 656, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.