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GCD of 72, 420, 359, 927 Calculator

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


Online GCD Calculator is useful to find the GCD of 72, 420, 359, 927 quickly. Get the easiest ways to solve the greatest common divisor of 72, 420, 359, 927 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 72, 420, 359, 927 with Factoring?

Given Input numbers are 72, 420, 359, 927

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

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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

Divisors of 359 :

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

1, 359

Divisors of 927 :

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

1, 3, 9, 103, 309, 927


GCD of numbers is the greatest common divisor

So, the GCD (72, 420, 359, 927) = 1.

Find GCD of 72, 420, 359, 927 using Prime Factorization

Given numbers are 72, 420, 359, 927

The list of prime factors of all numbers are

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

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

Prime factors of 359 are 359

Prime factors of 927 are 3 x 3 x 103

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

Steps to Calculate GCD of 72, 420, 359, 927 using LCM Formula

Given numbers are 72, 420, 359, 927

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

Apply this formula for all numbers.

Step1:

LCM(72, 420) = 2520

GCD(72, 420) = ( 72 x 420 ) / 2520

= 72 / 420

= 72


Step2:

LCM(12, 359) = 4308

GCD(12, 359) = ( 12 x 359 ) / 4308

= 12 / 359

= 12


Step3:

LCM(1, 927) = 927

GCD(1, 927) = ( 1 x 927 ) / 927

= 1 / 927

= 1


So, Greatest Common Divisor of 72, 420, 359, 927 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 72, 420, 359, 927

Given numbers are 72, 420, 359, 927
The greatest common divisor of numbers 72, 420, 359, 927 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 72, 420, 359, 927 is 1.

FAQs on GCD of 72, 420, 359, 927 Calculator

1. What is the GCD of 72, 420, 359, 927?

GCD of given numbers 72, 420, 359, 927 is 1


2. How to calculate the greatest common divisor of 72, 420, 359, 927?

We can find the highest common divisor of 72, 420, 359, 927 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 72, 420, 359, 927 i.e 1.


3. How can I use the GCD of 72, 420, 359, 927Calculator?

Out the numbers 72, 420, 359, 927 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.