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GCD of 495, 429, 438, 310 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, 429, 438, 310 quickly. Get the easiest ways to solve the greatest common divisor of 495, 429, 438, 310 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 495, 429, 438, 310 with Factoring?

Given Input numbers are 495, 429, 438, 310

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 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310


GCD of numbers is the greatest common divisor

So, the GCD (495, 429, 438, 310) = 1.

Find GCD of 495, 429, 438, 310 using Prime Factorization

Given numbers are 495, 429, 438, 310

The list of prime factors of all numbers are

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

Prime factors of 429 are 3 x 11 x 13

Prime factors of 438 are 2 x 3 x 73

Prime factors of 310 are 2 x 5 x 31

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

Steps to Calculate GCD of 495, 429, 438, 310 using LCM Formula

Given numbers are 495, 429, 438, 310

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

Apply this formula for all numbers.

Step1:

LCM(495, 429) = 6435

GCD(495, 429) = ( 495 x 429 ) / 6435

= 495 / 429

= 495


Step2:

LCM(33, 438) = 4818

GCD(33, 438) = ( 33 x 438 ) / 4818

= 33 / 438

= 33


Step3:

LCM(3, 310) = 930

GCD(3, 310) = ( 3 x 310 ) / 930

= 3 / 310

= 3


So, Greatest Common Divisor of 495, 429, 438, 310 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 495, 429, 438, 310

Given numbers are 495, 429, 438, 310
The greatest common divisor of numbers 495, 429, 438, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 429, 438, 310 is 1.

FAQs on GCD of 495, 429, 438, 310 Calculator

1. What is the GCD of 495, 429, 438, 310?

GCD of given numbers 495, 429, 438, 310 is 1


2. How to calculate the greatest common divisor of 495, 429, 438, 310?

We can find the highest common divisor of 495, 429, 438, 310 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, 429, 438, 310 i.e 1.


3. How can I use the GCD of 495, 429, 438, 310Calculator?

Out the numbers 495, 429, 438, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.