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GCD of 336, 736, 358, 164 Calculator

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


Online GCD Calculator is useful to find the GCD of 336, 736, 358, 164 quickly. Get the easiest ways to solve the greatest common divisor of 336, 736, 358, 164 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 336, 736, 358, 164 with Factoring?

Given Input numbers are 336, 736, 358, 164

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

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164


GCD of numbers is the greatest common divisor

So, the GCD (336, 736, 358, 164) = 2.

Find GCD of 336, 736, 358, 164 using Prime Factorization

Given numbers are 336, 736, 358, 164

The list of prime factors of all numbers are

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

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 358 are 2 x 179

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 21

Therefore, GCD of 336, 736, 358, 164 is 2.

Steps to Calculate GCD of 336, 736, 358, 164 using LCM Formula

Given numbers are 336, 736, 358, 164

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

Apply this formula for all numbers.

Step1:

LCM(336, 736) = 15456

GCD(336, 736) = ( 336 x 736 ) / 15456

= 336 / 736

= 336


Step2:

LCM(16, 358) = 2864

GCD(16, 358) = ( 16 x 358 ) / 2864

= 16 / 358

= 16


Step3:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2


So, Greatest Common Divisor of 336, 736, 358, 164 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 336, 736, 358, 164

Given numbers are 336, 736, 358, 164
The greatest common divisor of numbers 336, 736, 358, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 736, 358, 164 is 2.

FAQs on GCD of 336, 736, 358, 164 Calculator

1. What is the GCD of 336, 736, 358, 164?

GCD of given numbers 336, 736, 358, 164 is 2


2. How to calculate the greatest common divisor of 336, 736, 358, 164?

We can find the highest common divisor of 336, 736, 358, 164 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 336, 736, 358, 164 i.e 2.


3. How can I use the GCD of 336, 736, 358, 164Calculator?

Out the numbers 336, 736, 358, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.