GCD of 428, 298, 424 Calculator

Given Input numbers are 428, 298, 424

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

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (428, 298, 424) = 2.

Given numbers are 428, 298, 424

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 298 are 2 x 149

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 428, 298, 424 is 2.

Given numbers are 428, 298, 424

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

Apply this formula for all numbers.

Step1:

LCM(428, 298) = 63772

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

= 428 / 298

= 428

Step2:

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

= 2 / 424

= 2

So, Greatest Common Divisor of 428, 298, 424 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 403, 131
• GCD of 346, 529, 300
• GCD of 819, 493, 169
• GCD of 713, 333, 324
• GCD of 604, 191, 617

Given numbers are 428, 298, 424
The greatest common divisor of numbers 428, 298, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 298, 424 is 2.

1. What is the GCD of 428, 298, 424?

GCD of given numbers 428, 298, 424 is 2

2. How to calculate the greatest common divisor of 428, 298, 424?

We can find the highest common divisor of 428, 298, 424 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 428, 298, 424 i.e 2.

3. How can I use the GCD of 428, 298, 424Calculator?

Out the numbers 428, 298, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.