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GCD of 408, 316, 388, 689 Calculator

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


Online GCD Calculator is useful to find the GCD of 408, 316, 388, 689 quickly. Get the easiest ways to solve the greatest common divisor of 408, 316, 388, 689 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 408, 316, 388, 689 with Factoring?

Given Input numbers are 408, 316, 388, 689

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689


GCD of numbers is the greatest common divisor

So, the GCD (408, 316, 388, 689) = 1.

Find GCD of 408, 316, 388, 689 using Prime Factorization

Given numbers are 408, 316, 388, 689

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 316 are 2 x 2 x 79

Prime factors of 388 are 2 x 2 x 97

Prime factors of 689 are 13 x 53

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

Steps to Calculate GCD of 408, 316, 388, 689 using LCM Formula

Given numbers are 408, 316, 388, 689

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

Apply this formula for all numbers.

Step1:

LCM(408, 316) = 32232

GCD(408, 316) = ( 408 x 316 ) / 32232

= 408 / 316

= 408


Step2:

LCM(4, 388) = 388

GCD(4, 388) = ( 4 x 388 ) / 388

= 4 / 388

= 4


Step3:

LCM(4, 689) = 2756

GCD(4, 689) = ( 4 x 689 ) / 2756

= 4 / 689

= 4


So, Greatest Common Divisor of 408, 316, 388, 689 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 408, 316, 388, 689

Given numbers are 408, 316, 388, 689
The greatest common divisor of numbers 408, 316, 388, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 316, 388, 689 is 1.

FAQs on GCD of 408, 316, 388, 689 Calculator

1. What is the GCD of 408, 316, 388, 689?

GCD of given numbers 408, 316, 388, 689 is 1


2. How to calculate the greatest common divisor of 408, 316, 388, 689?

We can find the highest common divisor of 408, 316, 388, 689 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 408, 316, 388, 689 i.e 1.


3. How can I use the GCD of 408, 316, 388, 689Calculator?

Out the numbers 408, 316, 388, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.