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GCD of 682, 392, 203, 344 Calculator

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


Online GCD Calculator is useful to find the GCD of 682, 392, 203, 344 quickly. Get the easiest ways to solve the greatest common divisor of 682, 392, 203, 344 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 682, 392, 203, 344 with Factoring?

Given Input numbers are 682, 392, 203, 344

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 203 :

The positive integer divisors of 203 that completely divides 203 are.

1, 7, 29, 203

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344


GCD of numbers is the greatest common divisor

So, the GCD (682, 392, 203, 344) = 1.

Find GCD of 682, 392, 203, 344 using Prime Factorization

Given numbers are 682, 392, 203, 344

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 203 are 7 x 29

Prime factors of 344 are 2 x 2 x 2 x 43

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 682, 392, 203, 344 using LCM Formula

Given numbers are 682, 392, 203, 344

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

Apply this formula for all numbers.

Step1:

LCM(682, 392) = 133672

GCD(682, 392) = ( 682 x 392 ) / 133672

= 682 / 392

= 682


Step2:

LCM(2, 203) = 406

GCD(2, 203) = ( 2 x 203 ) / 406

= 2 / 203

= 2


Step3:

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

= 1 / 344

= 1


So, Greatest Common Divisor of 682, 392, 203, 344 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 682, 392, 203, 344

Given numbers are 682, 392, 203, 344
The greatest common divisor of numbers 682, 392, 203, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 392, 203, 344 is 1.

FAQs on GCD of 682, 392, 203, 344 Calculator

1. What is the GCD of 682, 392, 203, 344?

GCD of given numbers 682, 392, 203, 344 is 1


2. How to calculate the greatest common divisor of 682, 392, 203, 344?

We can find the highest common divisor of 682, 392, 203, 344 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 682, 392, 203, 344 i.e 1.


3. How can I use the GCD of 682, 392, 203, 344Calculator?

Out the numbers 682, 392, 203, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.