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GCD of 687, 123, 352 Calculator

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


Online GCD Calculator is useful to find the GCD of 687, 123, 352 quickly. Get the easiest ways to solve the greatest common divisor of 687, 123, 352 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 687, 123, 352 with Factoring?

Given Input numbers are 687, 123, 352

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352


GCD of numbers is the greatest common divisor

So, the GCD (687, 123, 352) = 1.

Find GCD of 687, 123, 352 using Prime Factorization

Given numbers are 687, 123, 352

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 123 are 3 x 41

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

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

Steps to Calculate GCD of 687, 123, 352 using LCM Formula

Given numbers are 687, 123, 352

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

Apply this formula for all numbers.

Step1:

LCM(687, 123) = 28167

GCD(687, 123) = ( 687 x 123 ) / 28167

= 687 / 123

= 687


Step2:

LCM(3, 352) = 1056

GCD(3, 352) = ( 3 x 352 ) / 1056

= 3 / 352

= 3


So, Greatest Common Divisor of 687, 123, 352 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 687, 123, 352

Given numbers are 687, 123, 352
The greatest common divisor of numbers 687, 123, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 123, 352 is 1.

FAQs on GCD of 687, 123, 352 Calculator

1. What is the GCD of 687, 123, 352?

GCD of given numbers 687, 123, 352 is 1


2. How to calculate the greatest common divisor of 687, 123, 352?

We can find the highest common divisor of 687, 123, 352 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 687, 123, 352 i.e 1.


3. How can I use the GCD of 687, 123, 352Calculator?

Out the numbers 687, 123, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.