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GCD of 927, 359, 361, 420 Calculator

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


Online GCD Calculator is useful to find the GCD of 927, 359, 361, 420 quickly. Get the easiest ways to solve the greatest common divisor of 927, 359, 361, 420 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 927, 359, 361, 420 with Factoring?

Given Input numbers are 927, 359, 361, 420

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

Divisors of 927 :

The positive integer divisors of 927 that completely divides 927 are.

1, 3, 9, 103, 309, 927

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420


GCD of numbers is the greatest common divisor

So, the GCD (927, 359, 361, 420) = 1.

Find GCD of 927, 359, 361, 420 using Prime Factorization

Given numbers are 927, 359, 361, 420

The list of prime factors of all numbers are

Prime factors of 927 are 3 x 3 x 103

Prime factors of 359 are 359

Prime factors of 361 are 19 x 19

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Steps to Calculate GCD of 927, 359, 361, 420 using LCM Formula

Given numbers are 927, 359, 361, 420

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

Apply this formula for all numbers.

Step1:

LCM(927, 359) = 332793

GCD(927, 359) = ( 927 x 359 ) / 332793

= 927 / 359

= 927


Step2:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1


Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1


So, Greatest Common Divisor of 927, 359, 361, 420 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 927, 359, 361, 420

Given numbers are 927, 359, 361, 420
The greatest common divisor of numbers 927, 359, 361, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 927, 359, 361, 420 is 1.

FAQs on GCD of 927, 359, 361, 420 Calculator

1. What is the GCD of 927, 359, 361, 420?

GCD of given numbers 927, 359, 361, 420 is 1


2. How to calculate the greatest common divisor of 927, 359, 361, 420?

We can find the highest common divisor of 927, 359, 361, 420 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 927, 359, 361, 420 i.e 1.


3. How can I use the GCD of 927, 359, 361, 420Calculator?

Out the numbers 927, 359, 361, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.