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GCD of 386, 716, 509, 682 Calculator

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


Online GCD Calculator is useful to find the GCD of 386, 716, 509, 682 quickly. Get the easiest ways to solve the greatest common divisor of 386, 716, 509, 682 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 386, 716, 509, 682 with Factoring?

Given Input numbers are 386, 716, 509, 682

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

Divisors of 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 682 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (386, 716, 509, 682) = 1.

Find GCD of 386, 716, 509, 682 using Prime Factorization

Given numbers are 386, 716, 509, 682

The list of prime factors of all numbers are

Prime factors of 386 are 2 x 193

Prime factors of 716 are 2 x 2 x 179

Prime factors of 509 are 509

Prime factors of 682 are 2 x 11 x 31

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

Steps to Calculate GCD of 386, 716, 509, 682 using LCM Formula

Given numbers are 386, 716, 509, 682

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

Apply this formula for all numbers.

Step1:

LCM(386, 716) = 138188

GCD(386, 716) = ( 386 x 716 ) / 138188

= 386 / 716

= 386


Step2:

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

= 2 / 509

= 2


Step3:

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

= 1 / 682

= 1


So, Greatest Common Divisor of 386, 716, 509, 682 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 386, 716, 509, 682

Given numbers are 386, 716, 509, 682
The greatest common divisor of numbers 386, 716, 509, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 386, 716, 509, 682 is 1.

FAQs on GCD of 386, 716, 509, 682 Calculator

1. What is the GCD of 386, 716, 509, 682?

GCD of given numbers 386, 716, 509, 682 is 1


2. How to calculate the greatest common divisor of 386, 716, 509, 682?

We can find the highest common divisor of 386, 716, 509, 682 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 386, 716, 509, 682 i.e 1.


3. How can I use the GCD of 386, 716, 509, 682Calculator?

Out the numbers 386, 716, 509, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.