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GCD of 336, 464, 58, 984 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, 464, 58, 984 quickly. Get the easiest ways to solve the greatest common divisor of 336, 464, 58, 984 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 336, 464, 58, 984 with Factoring?

Given Input numbers are 336, 464, 58, 984

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984


GCD of numbers is the greatest common divisor

So, the GCD (336, 464, 58, 984) = 2.

Find GCD of 336, 464, 58, 984 using Prime Factorization

Given numbers are 336, 464, 58, 984

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 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 58 are 2 x 29

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 21

Therefore, GCD of 336, 464, 58, 984 is 2.

Steps to Calculate GCD of 336, 464, 58, 984 using LCM Formula

Given numbers are 336, 464, 58, 984

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

Apply this formula for all numbers.

Step1:

LCM(336, 464) = 9744

GCD(336, 464) = ( 336 x 464 ) / 9744

= 336 / 464

= 336


Step2:

LCM(16, 58) = 464

GCD(16, 58) = ( 16 x 58 ) / 464

= 16 / 58

= 16


Step3:

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

= 2 / 984

= 2


So, Greatest Common Divisor of 336, 464, 58, 984 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 336, 464, 58, 984

Given numbers are 336, 464, 58, 984
The greatest common divisor of numbers 336, 464, 58, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 464, 58, 984 is 2.

FAQs on GCD of 336, 464, 58, 984 Calculator

1. What is the GCD of 336, 464, 58, 984?

GCD of given numbers 336, 464, 58, 984 is 2


2. How to calculate the greatest common divisor of 336, 464, 58, 984?

We can find the highest common divisor of 336, 464, 58, 984 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, 464, 58, 984 i.e 2.


3. How can I use the GCD of 336, 464, 58, 984Calculator?

Out the numbers 336, 464, 58, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.