Where do I get the detailed procedure to find GCD of 686, 169, 87?

You can find a detailed procedure to find GCD of 686, 169, 87 on our page.

How to find GCD of 686, 169, 87 on a calculator?

You can find the GCD of 686, 169, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 686, 169, 87 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, 169, 87 quickly. Get the easiest ways to solve the greatest common divisor of 686, 169, 87 i.e 1 in different methods as follows.

How to Find GCD of Numbers 686, 169, 87 with Factoring?

Given Input numbers are 686, 169, 87

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 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87

GCD of numbers is the greatest common divisor

So, the GCD (686, 169, 87) = 1.

Find GCD of 686, 169, 87 using Prime Factorization

Given numbers are 686, 169, 87

The list of prime factors of all numbers are

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

Prime factors of 169 are 13 x 13

Prime factors of 87 are 3 x 29

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

Steps to Calculate GCD of 686, 169, 87 using LCM Formula

Given numbers are 686, 169, 87

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

Apply this formula for all numbers.

Step1:

LCM(686, 169) = 115934

GCD(686, 169) = ( 686 x 169 ) / 115934

= 686 / 169

= 686

Step2:

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

= 1 / 87

= 1

So, Greatest Common Divisor of 686, 169, 87 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 686, 169, 87

Given numbers are 686, 169, 87
The greatest common divisor of numbers 686, 169, 87 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 169, 87 is 1.

FAQs on GCD of 686, 169, 87 Calculator

1. What is the GCD of 686, 169, 87?

GCD of given numbers 686, 169, 87 is 1

2. How to calculate the greatest common divisor of 686, 169, 87?

We can find the highest common divisor of 686, 169, 87 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, 169, 87 i.e 1.

3. How can I use the GCD of 686, 169, 87Calculator?

Out the numbers 686, 169, 87 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.