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GCD of 303, 128, 438, 420 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, 128, 438, 420 quickly. Get the easiest ways to solve the greatest common divisor of 303, 128, 438, 420 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 303, 128, 438, 420 with Factoring?

Given Input numbers are 303, 128, 438, 420

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 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 438 :

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

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

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


GCD of numbers is the greatest common divisor

So, the GCD (303, 128, 438, 420) = 1.

Find GCD of 303, 128, 438, 420 using Prime Factorization

Given numbers are 303, 128, 438, 420

The list of prime factors of all numbers are

Prime factors of 303 are 3 x 101

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 438 are 2 x 3 x 73

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

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

Steps to Calculate GCD of 303, 128, 438, 420 using LCM Formula

Given numbers are 303, 128, 438, 420

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

Apply this formula for all numbers.

Step1:

LCM(303, 128) = 38784

GCD(303, 128) = ( 303 x 128 ) / 38784

= 303 / 128

= 303


Step2:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1


Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1


So, Greatest Common Divisor of 303, 128, 438, 420 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 303, 128, 438, 420

Given numbers are 303, 128, 438, 420
The greatest common divisor of numbers 303, 128, 438, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 303, 128, 438, 420 is 1.

FAQs on GCD of 303, 128, 438, 420 Calculator

1. What is the GCD of 303, 128, 438, 420?

GCD of given numbers 303, 128, 438, 420 is 1


2. How to calculate the greatest common divisor of 303, 128, 438, 420?

We can find the highest common divisor of 303, 128, 438, 420 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, 128, 438, 420 i.e 1.


3. How can I use the GCD of 303, 128, 438, 420Calculator?

Out the numbers 303, 128, 438, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.