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GCD of 360, 451, 509, 422 Calculator

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


Online GCD Calculator is useful to find the GCD of 360, 451, 509, 422 quickly. Get the easiest ways to solve the greatest common divisor of 360, 451, 509, 422 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 360, 451, 509, 422 with Factoring?

Given Input numbers are 360, 451, 509, 422

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 451 :

The positive integer divisors of 451 that completely divides 451 are.

1, 11, 41, 451

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422


GCD of numbers is the greatest common divisor

So, the GCD (360, 451, 509, 422) = 1.

Find GCD of 360, 451, 509, 422 using Prime Factorization

Given numbers are 360, 451, 509, 422

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 451 are 11 x 41

Prime factors of 509 are 509

Prime factors of 422 are 2 x 211

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

Steps to Calculate GCD of 360, 451, 509, 422 using LCM Formula

Given numbers are 360, 451, 509, 422

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

Apply this formula for all numbers.

Step1:

LCM(360, 451) = 162360

GCD(360, 451) = ( 360 x 451 ) / 162360

= 360 / 451

= 360


Step2:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1


Step3:

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

= 1 / 422

= 1


So, Greatest Common Divisor of 360, 451, 509, 422 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 360, 451, 509, 422

Given numbers are 360, 451, 509, 422
The greatest common divisor of numbers 360, 451, 509, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 451, 509, 422 is 1.

FAQs on GCD of 360, 451, 509, 422 Calculator

1. What is the GCD of 360, 451, 509, 422?

GCD of given numbers 360, 451, 509, 422 is 1


2. How to calculate the greatest common divisor of 360, 451, 509, 422?

We can find the highest common divisor of 360, 451, 509, 422 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 360, 451, 509, 422 i.e 1.


3. How can I use the GCD of 360, 451, 509, 422Calculator?

Out the numbers 360, 451, 509, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.