GCD of 538, 502, 408, 324 Calculator

Given Input numbers are 538, 502, 408, 324

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

GCD of numbers is the greatest common divisor

So, the GCD (538, 502, 408, 324) = 2.

Given numbers are 538, 502, 408, 324

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 502 are 2 x 251

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 538, 502, 408, 324 is 2.

Given numbers are 538, 502, 408, 324

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

Apply this formula for all numbers.

Step1:

LCM(538, 502) = 135038

GCD(538, 502) = ( 538 x 502 ) / 135038

= 538 / 502

= 538

Step2:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2

Step3:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

So, Greatest Common Divisor of 538, 502, 408, 324 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 587, 975, 348
• GCD of 457, 938, 415, 234
• GCD of 304, 300, 556, 445
• GCD of 117, 780, 224, 863
• GCD of 172, 296, 104, 981

Given numbers are 538, 502, 408, 324
The greatest common divisor of numbers 538, 502, 408, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 502, 408, 324 is 2.

1. What is the GCD of 538, 502, 408, 324?

GCD of given numbers 538, 502, 408, 324 is 2

2. How to calculate the greatest common divisor of 538, 502, 408, 324?

We can find the highest common divisor of 538, 502, 408, 324 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 538, 502, 408, 324 i.e 2.

3. How can I use the GCD of 538, 502, 408, 324Calculator?

Out the numbers 538, 502, 408, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.