GCD of 428, 298, 78, 468 Calculator

Given Input numbers are 428, 298, 78, 468

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 428, 298, 78, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 298, 78, 468 is 2.

Therefore, GCD of numbers 428, 298, 78, 468 is 2

Given Input Data is 428, 298, 78, 468

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 298 is 2 x 149

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(428, 298) = 63772

GCD(428, 298) = ( 428 x 298 ) / 63772

GCD(428, 298) = 127544 / 63772

GCD(428, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 468

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

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

GCD(2, 468) = 936 / 468

GCD(2, 468) = 2

GCD of 428, 298, 78, 468 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 996, 89, 376
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• GCD of 763, 991, 15, 686

1. What is the GCD of 428, 298, 78, 468?

GCD of 428, 298, 78, 468 is 2

2. Where do I get the detailed procedure to find GCD of 428, 298, 78, 468?

You can find a detailed procedure to find GCD of 428, 298, 78, 468 on our page.

3. How to find GCD of 428, 298, 78, 468 on a calculator?

You can find the GCD of 428, 298, 78, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.