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GCD of 680, 438, 302, 336 Calculator

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


Online GCD Calculator is useful to find the GCD of 680, 438, 302, 336 quickly. Get the easiest ways to solve the greatest common divisor of 680, 438, 302, 336 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 680, 438, 302, 336 with Factoring?

Given Input numbers are 680, 438, 302, 336

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

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


GCD of numbers is the greatest common divisor

So, the GCD (680, 438, 302, 336) = 2.

Find GCD of 680, 438, 302, 336 using Prime Factorization

Given numbers are 680, 438, 302, 336

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 438 are 2 x 3 x 73

Prime factors of 302 are 2 x 151

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

The highest common occurrence is 21

Therefore, GCD of 680, 438, 302, 336 is 2.

Steps to Calculate GCD of 680, 438, 302, 336 using LCM Formula

Given numbers are 680, 438, 302, 336

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

Apply this formula for all numbers.

Step1:

LCM(680, 438) = 148920

GCD(680, 438) = ( 680 x 438 ) / 148920

= 680 / 438

= 680


Step2:

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

= 2 / 302

= 2


Step3:

LCM(2, 336) = 336

GCD(2, 336) = ( 2 x 336 ) / 336

= 2 / 336

= 2


So, Greatest Common Divisor of 680, 438, 302, 336 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 680, 438, 302, 336

Given numbers are 680, 438, 302, 336
The greatest common divisor of numbers 680, 438, 302, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 438, 302, 336 is 2.

FAQs on GCD of 680, 438, 302, 336 Calculator

1. What is the GCD of 680, 438, 302, 336?

GCD of given numbers 680, 438, 302, 336 is 2


2. How to calculate the greatest common divisor of 680, 438, 302, 336?

We can find the highest common divisor of 680, 438, 302, 336 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 680, 438, 302, 336 i.e 2.


3. How can I use the GCD of 680, 438, 302, 336Calculator?

Out the numbers 680, 438, 302, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.