GCD of 488, 556, 448, 412 Calculator

Given Input numbers are 488, 556, 448, 412

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (488, 556, 448, 412) = 4.

Given numbers are 488, 556, 448, 412

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 556 are 2 x 2 x 139

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 412 are 2 x 2 x 103

The highest common occurrence is 2²

Therefore, GCD of 488, 556, 448, 412 is 4.

Given numbers are 488, 556, 448, 412

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

Apply this formula for all numbers.

Step1:

LCM(488, 556) = 67832

GCD(488, 556) = ( 488 x 556 ) / 67832

= 488 / 556

= 488

Step2:

LCM(4, 448) = 448

GCD(4, 448) = ( 4 x 448 ) / 448

= 4 / 448

= 4

Step3:

LCM(4, 412) = 412

GCD(4, 412) = ( 4 x 412 ) / 412

= 4 / 412

= 4

So, Greatest Common Divisor of 488, 556, 448, 412 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 266, 255, 957
• GCD of 517, 152, 393, 636
• GCD of 128, 669, 222, 887
• GCD of 579, 437, 612, 646
• GCD of 364, 882, 150, 318

Given numbers are 488, 556, 448, 412
The greatest common divisor of numbers 488, 556, 448, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 556, 448, 412 is 4.

1. What is the GCD of 488, 556, 448, 412?

GCD of given numbers 488, 556, 448, 412 is 4

2. How to calculate the greatest common divisor of 488, 556, 448, 412?

We can find the highest common divisor of 488, 556, 448, 412 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 488, 556, 448, 412 i.e 4.

3. How can I use the GCD of 488, 556, 448, 412Calculator?

Out the numbers 488, 556, 448, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.