GCD of 498, 324, 398, 476 Calculator

Given Input numbers are 498, 324, 398, 476

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

GCD of numbers is the greatest common divisor

So, the GCD (498, 324, 398, 476) = 2.

Given numbers are 498, 324, 398, 476

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 398 are 2 x 199

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 498, 324, 398, 476 is 2.

Given numbers are 498, 324, 398, 476

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

Apply this formula for all numbers.

Step1:

LCM(498, 324) = 26892

GCD(498, 324) = ( 498 x 324 ) / 26892

= 498 / 324

= 498

Step2:

LCM(6, 398) = 1194

GCD(6, 398) = ( 6 x 398 ) / 1194

= 6 / 398

= 6

Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

So, Greatest Common Divisor of 498, 324, 398, 476 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 440, 802, 631
• GCD of 470, 590, 209, 767
• GCD of 944, 251, 216, 314
• GCD of 430, 956, 541, 388
• GCD of 475, 591, 597, 631

Given numbers are 498, 324, 398, 476
The greatest common divisor of numbers 498, 324, 398, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 324, 398, 476 is 2.

1. What is the GCD of 498, 324, 398, 476?

GCD of given numbers 498, 324, 398, 476 is 2

2. How to calculate the greatest common divisor of 498, 324, 398, 476?

We can find the highest common divisor of 498, 324, 398, 476 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 498, 324, 398, 476 i.e 2.

3. How can I use the GCD of 498, 324, 398, 476Calculator?

Out the numbers 498, 324, 398, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.