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GCD of 489, 508, 755, 686 Calculator

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


Online GCD Calculator is useful to find the GCD of 489, 508, 755, 686 quickly. Get the easiest ways to solve the greatest common divisor of 489, 508, 755, 686 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 489, 508, 755, 686 with Factoring?

Given Input numbers are 489, 508, 755, 686

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 686 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (489, 508, 755, 686) = 1.

Find GCD of 489, 508, 755, 686 using Prime Factorization

Given numbers are 489, 508, 755, 686

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 508 are 2 x 2 x 127

Prime factors of 755 are 5 x 151

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

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

Steps to Calculate GCD of 489, 508, 755, 686 using LCM Formula

Given numbers are 489, 508, 755, 686

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

Apply this formula for all numbers.

Step1:

LCM(489, 508) = 248412

GCD(489, 508) = ( 489 x 508 ) / 248412

= 489 / 508

= 489


Step2:

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

= 1 / 755

= 1


Step3:

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

= 1 / 686

= 1


So, Greatest Common Divisor of 489, 508, 755, 686 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 489, 508, 755, 686

Given numbers are 489, 508, 755, 686
The greatest common divisor of numbers 489, 508, 755, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 508, 755, 686 is 1.

FAQs on GCD of 489, 508, 755, 686 Calculator

1. What is the GCD of 489, 508, 755, 686?

GCD of given numbers 489, 508, 755, 686 is 1


2. How to calculate the greatest common divisor of 489, 508, 755, 686?

We can find the highest common divisor of 489, 508, 755, 686 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 489, 508, 755, 686 i.e 1.


3. How can I use the GCD of 489, 508, 755, 686Calculator?

Out the numbers 489, 508, 755, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.