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GCD of 686, 328, 120, 613 Calculator

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


Online GCD Calculator is useful to find the GCD of 686, 328, 120, 613 quickly. Get the easiest ways to solve the greatest common divisor of 686, 328, 120, 613 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 686, 328, 120, 613 with Factoring?

Given Input numbers are 686, 328, 120, 613

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 613 :

The positive integer divisors of 613 that completely divides 613 are.

1, 613


GCD of numbers is the greatest common divisor

So, the GCD (686, 328, 120, 613) = 1.

Find GCD of 686, 328, 120, 613 using Prime Factorization

Given numbers are 686, 328, 120, 613

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 613 are 613

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

Steps to Calculate GCD of 686, 328, 120, 613 using LCM Formula

Given numbers are 686, 328, 120, 613

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

Apply this formula for all numbers.

Step1:

LCM(686, 328) = 112504

GCD(686, 328) = ( 686 x 328 ) / 112504

= 686 / 328

= 686


Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2


Step3:

LCM(2, 613) = 1226

GCD(2, 613) = ( 2 x 613 ) / 1226

= 2 / 613

= 2


So, Greatest Common Divisor of 686, 328, 120, 613 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 686, 328, 120, 613

Given numbers are 686, 328, 120, 613
The greatest common divisor of numbers 686, 328, 120, 613 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 328, 120, 613 is 1.

FAQs on GCD of 686, 328, 120, 613 Calculator

1. What is the GCD of 686, 328, 120, 613?

GCD of given numbers 686, 328, 120, 613 is 1


2. How to calculate the greatest common divisor of 686, 328, 120, 613?

We can find the highest common divisor of 686, 328, 120, 613 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 686, 328, 120, 613 i.e 1.


3. How can I use the GCD of 686, 328, 120, 613Calculator?

Out the numbers 686, 328, 120, 613 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.