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GCD of 486, 344, 427, 734 Calculator

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


Online GCD Calculator is useful to find the GCD of 486, 344, 427, 734 quickly. Get the easiest ways to solve the greatest common divisor of 486, 344, 427, 734 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 486, 344, 427, 734 with Factoring?

Given Input numbers are 486, 344, 427, 734

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

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 427 :

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

1, 7, 61, 427

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734


GCD of numbers is the greatest common divisor

So, the GCD (486, 344, 427, 734) = 1.

Find GCD of 486, 344, 427, 734 using Prime Factorization

Given numbers are 486, 344, 427, 734

The list of prime factors of all numbers are

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 427 are 7 x 61

Prime factors of 734 are 2 x 367

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

Steps to Calculate GCD of 486, 344, 427, 734 using LCM Formula

Given numbers are 486, 344, 427, 734

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

Apply this formula for all numbers.

Step1:

LCM(486, 344) = 83592

GCD(486, 344) = ( 486 x 344 ) / 83592

= 486 / 344

= 486


Step2:

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

= 2 / 427

= 2


Step3:

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

= 1 / 734

= 1


So, Greatest Common Divisor of 486, 344, 427, 734 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 486, 344, 427, 734

Given numbers are 486, 344, 427, 734
The greatest common divisor of numbers 486, 344, 427, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 344, 427, 734 is 1.

FAQs on GCD of 486, 344, 427, 734 Calculator

1. What is the GCD of 486, 344, 427, 734?

GCD of given numbers 486, 344, 427, 734 is 1


2. How to calculate the greatest common divisor of 486, 344, 427, 734?

We can find the highest common divisor of 486, 344, 427, 734 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 486, 344, 427, 734 i.e 1.


3. How can I use the GCD of 486, 344, 427, 734Calculator?

Out the numbers 486, 344, 427, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.