GCD of 424, 756, 304, 498 Calculator

Given Input numbers are 424, 756, 304, 498

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

Divisors of 424 :

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

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 498 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (424, 756, 304, 498) = 2.

Given numbers are 424, 756, 304, 498

The list of prime factors of all numbers are

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

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 424, 756, 304, 498 is 2.

Given numbers are 424, 756, 304, 498

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

Apply this formula for all numbers.

Step1:

LCM(424, 756) = 80136

GCD(424, 756) = ( 424 x 756 ) / 80136

= 424 / 756

= 424

Step2:

LCM(4, 304) = 304

GCD(4, 304) = ( 4 x 304 ) / 304

= 4 / 304

= 4

Step3:

LCM(4, 498) = 996

GCD(4, 498) = ( 4 x 498 ) / 996

= 4 / 498

= 4

So, Greatest Common Divisor of 424, 756, 304, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 260, 412, 982
• GCD of 321, 706, 222, 810
• GCD of 464, 660, 569, 434
• GCD of 535, 401, 602, 833
• GCD of 563, 774, 546, 135

Given numbers are 424, 756, 304, 498
The greatest common divisor of numbers 424, 756, 304, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 756, 304, 498 is 2.

1. What is the GCD of 424, 756, 304, 498?

GCD of given numbers 424, 756, 304, 498 is 2

2. How to calculate the greatest common divisor of 424, 756, 304, 498?

We can find the highest common divisor of 424, 756, 304, 498 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 424, 756, 304, 498 i.e 2.

3. How can I use the GCD of 424, 756, 304, 498Calculator?

Out the numbers 424, 756, 304, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.