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GCD of 427, 609, 474, 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 427, 609, 474, 689 quickly. Get the easiest ways to solve the greatest common divisor of 427, 609, 474, 689 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 427, 609, 474, 689 with Factoring?

Given Input numbers are 427, 609, 474, 689

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

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

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 (427, 609, 474, 689) = 1.

Find GCD of 427, 609, 474, 689 using Prime Factorization

Given numbers are 427, 609, 474, 689

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 609 are 3 x 7 x 29

Prime factors of 474 are 2 x 3 x 79

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 427, 609, 474, 689 using LCM Formula

Given numbers are 427, 609, 474, 689

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

Apply this formula for all numbers.

Step1:

LCM(427, 609) = 37149

GCD(427, 609) = ( 427 x 609 ) / 37149

= 427 / 609

= 427


Step2:

LCM(7, 474) = 3318

GCD(7, 474) = ( 7 x 474 ) / 3318

= 7 / 474

= 7


Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1


So, Greatest Common Divisor of 427, 609, 474, 689 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 427, 609, 474, 689

Given numbers are 427, 609, 474, 689
The greatest common divisor of numbers 427, 609, 474, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 609, 474, 689 is 1.

FAQs on GCD of 427, 609, 474, 689 Calculator

1. What is the GCD of 427, 609, 474, 689?

GCD of given numbers 427, 609, 474, 689 is 1


2. How to calculate the greatest common divisor of 427, 609, 474, 689?

We can find the highest common divisor of 427, 609, 474, 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 427, 609, 474, 689 i.e 1.


3. How can I use the GCD of 427, 609, 474, 689Calculator?

Out the numbers 427, 609, 474, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.