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GCD of 495, 330, 431, 552 Calculator

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


Online GCD Calculator is useful to find the GCD of 495, 330, 431, 552 quickly. Get the easiest ways to solve the greatest common divisor of 495, 330, 431, 552 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 495, 330, 431, 552 with Factoring?

Given Input numbers are 495, 330, 431, 552

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552


GCD of numbers is the greatest common divisor

So, the GCD (495, 330, 431, 552) = 1.

Find GCD of 495, 330, 431, 552 using Prime Factorization

Given numbers are 495, 330, 431, 552

The list of prime factors of all numbers are

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 431 are 431

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

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

Steps to Calculate GCD of 495, 330, 431, 552 using LCM Formula

Given numbers are 495, 330, 431, 552

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

Apply this formula for all numbers.

Step1:

LCM(495, 330) = 990

GCD(495, 330) = ( 495 x 330 ) / 990

= 495 / 330

= 495


Step2:

LCM(165, 431) = 71115

GCD(165, 431) = ( 165 x 431 ) / 71115

= 165 / 431

= 165


Step3:

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

= 1 / 552

= 1


So, Greatest Common Divisor of 495, 330, 431, 552 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 495, 330, 431, 552

Given numbers are 495, 330, 431, 552
The greatest common divisor of numbers 495, 330, 431, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 330, 431, 552 is 1.

FAQs on GCD of 495, 330, 431, 552 Calculator

1. What is the GCD of 495, 330, 431, 552?

GCD of given numbers 495, 330, 431, 552 is 1


2. How to calculate the greatest common divisor of 495, 330, 431, 552?

We can find the highest common divisor of 495, 330, 431, 552 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 495, 330, 431, 552 i.e 1.


3. How can I use the GCD of 495, 330, 431, 552Calculator?

Out the numbers 495, 330, 431, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.