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GCD of 689, 921, 328, 478 Calculator

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


Online GCD Calculator is useful to find the GCD of 689, 921, 328, 478 quickly. Get the easiest ways to solve the greatest common divisor of 689, 921, 328, 478 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 689, 921, 328, 478 with Factoring?

Given Input numbers are 689, 921, 328, 478

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

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478


GCD of numbers is the greatest common divisor

So, the GCD (689, 921, 328, 478) = 1.

Find GCD of 689, 921, 328, 478 using Prime Factorization

Given numbers are 689, 921, 328, 478

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 921 are 3 x 307

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 478 are 2 x 239

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

Steps to Calculate GCD of 689, 921, 328, 478 using LCM Formula

Given numbers are 689, 921, 328, 478

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

Apply this formula for all numbers.

Step1:

LCM(689, 921) = 634569

GCD(689, 921) = ( 689 x 921 ) / 634569

= 689 / 921

= 689


Step2:

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

= 1 / 328

= 1


Step3:

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

= 1 / 478

= 1


So, Greatest Common Divisor of 689, 921, 328, 478 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 689, 921, 328, 478

Given numbers are 689, 921, 328, 478
The greatest common divisor of numbers 689, 921, 328, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 921, 328, 478 is 1.

FAQs on GCD of 689, 921, 328, 478 Calculator

1. What is the GCD of 689, 921, 328, 478?

GCD of given numbers 689, 921, 328, 478 is 1


2. How to calculate the greatest common divisor of 689, 921, 328, 478?

We can find the highest common divisor of 689, 921, 328, 478 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 689, 921, 328, 478 i.e 1.


3. How can I use the GCD of 689, 921, 328, 478Calculator?

Out the numbers 689, 921, 328, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.