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GCD of 303, 423, 981, 477 Calculator

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


Online GCD Calculator is useful to find the GCD of 303, 423, 981, 477 quickly. Get the easiest ways to solve the greatest common divisor of 303, 423, 981, 477 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 303, 423, 981, 477 with Factoring?

Given Input numbers are 303, 423, 981, 477

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

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477


GCD of numbers is the greatest common divisor

So, the GCD (303, 423, 981, 477) = 3.

Find GCD of 303, 423, 981, 477 using Prime Factorization

Given numbers are 303, 423, 981, 477

The list of prime factors of all numbers are

Prime factors of 303 are 3 x 101

Prime factors of 423 are 3 x 3 x 47

Prime factors of 981 are 3 x 3 x 109

Prime factors of 477 are 3 x 3 x 53

The highest common occurrence is 31

Therefore, GCD of 303, 423, 981, 477 is 3.

Steps to Calculate GCD of 303, 423, 981, 477 using LCM Formula

Given numbers are 303, 423, 981, 477

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

Apply this formula for all numbers.

Step1:

LCM(303, 423) = 42723

GCD(303, 423) = ( 303 x 423 ) / 42723

= 303 / 423

= 303


Step2:

LCM(3, 981) = 981

GCD(3, 981) = ( 3 x 981 ) / 981

= 3 / 981

= 3


Step3:

LCM(3, 477) = 477

GCD(3, 477) = ( 3 x 477 ) / 477

= 3 / 477

= 3


So, Greatest Common Divisor of 303, 423, 981, 477 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 303, 423, 981, 477

Given numbers are 303, 423, 981, 477
The greatest common divisor of numbers 303, 423, 981, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 303, 423, 981, 477 is 3.

FAQs on GCD of 303, 423, 981, 477 Calculator

1. What is the GCD of 303, 423, 981, 477?

GCD of given numbers 303, 423, 981, 477 is 3


2. How to calculate the greatest common divisor of 303, 423, 981, 477?

We can find the highest common divisor of 303, 423, 981, 477 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 303, 423, 981, 477 i.e 3.


3. How can I use the GCD of 303, 423, 981, 477Calculator?

Out the numbers 303, 423, 981, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.