GCD of 408, 484, 520, 348 Calculator

Given Input numbers are 408, 484, 520, 348

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

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 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (408, 484, 520, 348) = 4.

Given numbers are 408, 484, 520, 348

The list of prime factors of all numbers are

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

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 2²

Therefore, GCD of 408, 484, 520, 348 is 4.

Given numbers are 408, 484, 520, 348

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

Apply this formula for all numbers.

Step1:

LCM(408, 484) = 49368

GCD(408, 484) = ( 408 x 484 ) / 49368

= 408 / 484

= 408

Step2:

LCM(4, 520) = 520

GCD(4, 520) = ( 4 x 520 ) / 520

= 4 / 520

= 4

Step3:

LCM(4, 348) = 348

GCD(4, 348) = ( 4 x 348 ) / 348

= 4 / 348

= 4

So, Greatest Common Divisor of 408, 484, 520, 348 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 313, 494, 239
• GCD of 821, 920, 258, 818
• GCD of 209, 158, 190, 255
• GCD of 114, 600, 249, 405
• GCD of 578, 549, 434, 686

Given numbers are 408, 484, 520, 348
The greatest common divisor of numbers 408, 484, 520, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 484, 520, 348 is 4.

1. What is the GCD of 408, 484, 520, 348?

GCD of given numbers 408, 484, 520, 348 is 4

2. How to calculate the greatest common divisor of 408, 484, 520, 348?

We can find the highest common divisor of 408, 484, 520, 348 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 408, 484, 520, 348 i.e 4.

3. How can I use the GCD of 408, 484, 520, 348Calculator?

Out the numbers 408, 484, 520, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.