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GCD of 336, 506, 670, 832 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, 506, 670, 832 quickly. Get the easiest ways to solve the greatest common divisor of 336, 506, 670, 832 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 336, 506, 670, 832 with Factoring?

Given Input numbers are 336, 506, 670, 832

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 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832


GCD of numbers is the greatest common divisor

So, the GCD (336, 506, 670, 832) = 2.

Find GCD of 336, 506, 670, 832 using Prime Factorization

Given numbers are 336, 506, 670, 832

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 506 are 2 x 11 x 23

Prime factors of 670 are 2 x 5 x 67

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

The highest common occurrence is 21

Therefore, GCD of 336, 506, 670, 832 is 2.

Steps to Calculate GCD of 336, 506, 670, 832 using LCM Formula

Given numbers are 336, 506, 670, 832

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

Apply this formula for all numbers.

Step1:

LCM(336, 506) = 85008

GCD(336, 506) = ( 336 x 506 ) / 85008

= 336 / 506

= 336


Step2:

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

= 2 / 670

= 2


Step3:

LCM(2, 832) = 832

GCD(2, 832) = ( 2 x 832 ) / 832

= 2 / 832

= 2


So, Greatest Common Divisor of 336, 506, 670, 832 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 336, 506, 670, 832

Given numbers are 336, 506, 670, 832
The greatest common divisor of numbers 336, 506, 670, 832 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 506, 670, 832 is 2.

FAQs on GCD of 336, 506, 670, 832 Calculator

1. What is the GCD of 336, 506, 670, 832?

GCD of given numbers 336, 506, 670, 832 is 2


2. How to calculate the greatest common divisor of 336, 506, 670, 832?

We can find the highest common divisor of 336, 506, 670, 832 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, 506, 670, 832 i.e 2.


3. How can I use the GCD of 336, 506, 670, 832Calculator?

Out the numbers 336, 506, 670, 832 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.