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GCD of 168, 686, 357 Calculator

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


Online GCD Calculator is useful to find the GCD of 168, 686, 357 quickly. Get the easiest ways to solve the greatest common divisor of 168, 686, 357 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 168, 686, 357 with Factoring?

Given Input numbers are 168, 686, 357

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 686 :

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

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357


GCD of numbers is the greatest common divisor

So, the GCD (168, 686, 357) = 7.

Find GCD of 168, 686, 357 using Prime Factorization

Given numbers are 168, 686, 357

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

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

Prime factors of 357 are 3 x 7 x 17

The highest common occurrence is 71

Therefore, GCD of 168, 686, 357 is 7.

Steps to Calculate GCD of 168, 686, 357 using LCM Formula

Given numbers are 168, 686, 357

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

Apply this formula for all numbers.

Step1:

LCM(168, 686) = 8232

GCD(168, 686) = ( 168 x 686 ) / 8232

= 168 / 686

= 168


Step2:

LCM(14, 357) = 714

GCD(14, 357) = ( 14 x 357 ) / 714

= 14 / 357

= 14


So, Greatest Common Divisor of 168, 686, 357 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 168, 686, 357

Given numbers are 168, 686, 357
The greatest common divisor of numbers 168, 686, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 686, 357 is 7.

FAQs on GCD of 168, 686, 357 Calculator

1. What is the GCD of 168, 686, 357?

GCD of given numbers 168, 686, 357 is 7


2. How to calculate the greatest common divisor of 168, 686, 357?

We can find the highest common divisor of 168, 686, 357 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 168, 686, 357 i.e 7.


3. How can I use the GCD of 168, 686, 357Calculator?

Out the numbers 168, 686, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.