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GCD of 428, 891, 678, 727 Calculator

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


Online GCD Calculator is useful to find the GCD of 428, 891, 678, 727 quickly. Get the easiest ways to solve the greatest common divisor of 428, 891, 678, 727 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 428, 891, 678, 727 with Factoring?

Given Input numbers are 428, 891, 678, 727

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727


GCD of numbers is the greatest common divisor

So, the GCD (428, 891, 678, 727) = 1.

Find GCD of 428, 891, 678, 727 using Prime Factorization

Given numbers are 428, 891, 678, 727

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 678 are 2 x 3 x 113

Prime factors of 727 are 727

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

Steps to Calculate GCD of 428, 891, 678, 727 using LCM Formula

Given numbers are 428, 891, 678, 727

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

Apply this formula for all numbers.

Step1:

LCM(428, 891) = 381348

GCD(428, 891) = ( 428 x 891 ) / 381348

= 428 / 891

= 428


Step2:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1


Step3:

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

= 1 / 727

= 1


So, Greatest Common Divisor of 428, 891, 678, 727 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 428, 891, 678, 727

Given numbers are 428, 891, 678, 727
The greatest common divisor of numbers 428, 891, 678, 727 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 891, 678, 727 is 1.

FAQs on GCD of 428, 891, 678, 727 Calculator

1. What is the GCD of 428, 891, 678, 727?

GCD of given numbers 428, 891, 678, 727 is 1


2. How to calculate the greatest common divisor of 428, 891, 678, 727?

We can find the highest common divisor of 428, 891, 678, 727 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 428, 891, 678, 727 i.e 1.


3. How can I use the GCD of 428, 891, 678, 727Calculator?

Out the numbers 428, 891, 678, 727 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.