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GCD of 492, 440, 128, 428 Calculator

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


Online GCD Calculator is useful to find the GCD of 492, 440, 128, 428 quickly. Get the easiest ways to solve the greatest common divisor of 492, 440, 128, 428 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 492, 440, 128, 428 with Factoring?

Given Input numbers are 492, 440, 128, 428

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 128 :

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

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428


GCD of numbers is the greatest common divisor

So, the GCD (492, 440, 128, 428) = 4.

Find GCD of 492, 440, 128, 428 using Prime Factorization

Given numbers are 492, 440, 128, 428

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

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

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 22

Therefore, GCD of 492, 440, 128, 428 is 4.

Steps to Calculate GCD of 492, 440, 128, 428 using LCM Formula

Given numbers are 492, 440, 128, 428

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

Apply this formula for all numbers.

Step1:

LCM(492, 440) = 54120

GCD(492, 440) = ( 492 x 440 ) / 54120

= 492 / 440

= 492


Step2:

LCM(4, 128) = 128

GCD(4, 128) = ( 4 x 128 ) / 128

= 4 / 128

= 4


Step3:

LCM(4, 428) = 428

GCD(4, 428) = ( 4 x 428 ) / 428

= 4 / 428

= 4


So, Greatest Common Divisor of 492, 440, 128, 428 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 492, 440, 128, 428

Given numbers are 492, 440, 128, 428
The greatest common divisor of numbers 492, 440, 128, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 440, 128, 428 is 4.

FAQs on GCD of 492, 440, 128, 428 Calculator

1. What is the GCD of 492, 440, 128, 428?

GCD of given numbers 492, 440, 128, 428 is 4


2. How to calculate the greatest common divisor of 492, 440, 128, 428?

We can find the highest common divisor of 492, 440, 128, 428 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 492, 440, 128, 428 i.e 4.


3. How can I use the GCD of 492, 440, 128, 428Calculator?

Out the numbers 492, 440, 128, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.