GCD of 298, 398, 432 Calculator

Given Input numbers are 298, 398, 432

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

Divisors of 298 :

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

1, 2, 149, 298

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (298, 398, 432) = 2.

Given numbers are 298, 398, 432

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 398 are 2 x 199

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 298, 398, 432 is 2.

Given numbers are 298, 398, 432

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

Apply this formula for all numbers.

Step1:

LCM(298, 398) = 59302

GCD(298, 398) = ( 298 x 398 ) / 59302

= 298 / 398

= 298

Step2:

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

= 2 / 432

= 2

So, Greatest Common Divisor of 298, 398, 432 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 505, 564
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Given numbers are 298, 398, 432
The greatest common divisor of numbers 298, 398, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 398, 432 is 2.

1. What is the GCD of 298, 398, 432?

GCD of given numbers 298, 398, 432 is 2

2. How to calculate the greatest common divisor of 298, 398, 432?

We can find the highest common divisor of 298, 398, 432 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 298, 398, 432 i.e 2.

3. How can I use the GCD of 298, 398, 432Calculator?

Out the numbers 298, 398, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.