GCD of 408, 448, 104, 918 Calculator

Given Input numbers are 408, 448, 104, 918

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 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 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (408, 448, 104, 918) = 2.

Given numbers are 408, 448, 104, 918

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 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 408, 448, 104, 918 is 2.

Given numbers are 408, 448, 104, 918

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

Apply this formula for all numbers.

Step1:

LCM(408, 448) = 22848

GCD(408, 448) = ( 408 x 448 ) / 22848

= 408 / 448

= 408

Step2:

LCM(8, 104) = 104

GCD(8, 104) = ( 8 x 104 ) / 104

= 8 / 104

= 8

Step3:

LCM(8, 918) = 3672

GCD(8, 918) = ( 8 x 918 ) / 3672

= 8 / 918

= 8

So, Greatest Common Divisor of 408, 448, 104, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 405, 127, 915
• GCD of 374, 676, 101, 146
• GCD of 428, 585, 385, 949
• GCD of 823, 858, 730, 681
• GCD of 479, 230, 845, 128

Given numbers are 408, 448, 104, 918
The greatest common divisor of numbers 408, 448, 104, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 448, 104, 918 is 2.

1. What is the GCD of 408, 448, 104, 918?

GCD of given numbers 408, 448, 104, 918 is 2

2. How to calculate the greatest common divisor of 408, 448, 104, 918?

We can find the highest common divisor of 408, 448, 104, 918 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, 448, 104, 918 i.e 2.

3. How can I use the GCD of 408, 448, 104, 918Calculator?

Out the numbers 408, 448, 104, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.