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GCD of 861, 427, 272, 789 Calculator

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


Online GCD Calculator is useful to find the GCD of 861, 427, 272, 789 quickly. Get the easiest ways to solve the greatest common divisor of 861, 427, 272, 789 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 861, 427, 272, 789 with Factoring?

Given Input numbers are 861, 427, 272, 789

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 427 :

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

1, 7, 61, 427

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789


GCD of numbers is the greatest common divisor

So, the GCD (861, 427, 272, 789) = 1.

Find GCD of 861, 427, 272, 789 using Prime Factorization

Given numbers are 861, 427, 272, 789

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 427 are 7 x 61

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 789 are 3 x 263

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

Steps to Calculate GCD of 861, 427, 272, 789 using LCM Formula

Given numbers are 861, 427, 272, 789

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

Apply this formula for all numbers.

Step1:

LCM(861, 427) = 52521

GCD(861, 427) = ( 861 x 427 ) / 52521

= 861 / 427

= 861


Step2:

LCM(7, 272) = 1904

GCD(7, 272) = ( 7 x 272 ) / 1904

= 7 / 272

= 7


Step3:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1


So, Greatest Common Divisor of 861, 427, 272, 789 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 861, 427, 272, 789

Given numbers are 861, 427, 272, 789
The greatest common divisor of numbers 861, 427, 272, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 427, 272, 789 is 1.

FAQs on GCD of 861, 427, 272, 789 Calculator

1. What is the GCD of 861, 427, 272, 789?

GCD of given numbers 861, 427, 272, 789 is 1


2. How to calculate the greatest common divisor of 861, 427, 272, 789?

We can find the highest common divisor of 861, 427, 272, 789 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 861, 427, 272, 789 i.e 1.


3. How can I use the GCD of 861, 427, 272, 789Calculator?

Out the numbers 861, 427, 272, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.