GCD of 448, 944, 320, 104 Calculator

Given Input numbers are 448, 944, 320, 104

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

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 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 104 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (448, 944, 320, 104) = 8.

Given numbers are 448, 944, 320, 104

The list of prime factors of all numbers are

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

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

The highest common occurrence is 2³

Therefore, GCD of 448, 944, 320, 104 is 8.

Given numbers are 448, 944, 320, 104

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

Apply this formula for all numbers.

Step1:

LCM(448, 944) = 26432

GCD(448, 944) = ( 448 x 944 ) / 26432

= 448 / 944

= 448

Step2:

LCM(16, 320) = 320

GCD(16, 320) = ( 16 x 320 ) / 320

= 16 / 320

= 16

Step3:

LCM(16, 104) = 208

GCD(16, 104) = ( 16 x 104 ) / 208

= 16 / 104

= 16

So, Greatest Common Divisor of 448, 944, 320, 104 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 874, 863, 677
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Given numbers are 448, 944, 320, 104
The greatest common divisor of numbers 448, 944, 320, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 944, 320, 104 is 8.

1. What is the GCD of 448, 944, 320, 104?

GCD of given numbers 448, 944, 320, 104 is 8

2. How to calculate the greatest common divisor of 448, 944, 320, 104?

We can find the highest common divisor of 448, 944, 320, 104 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 448, 944, 320, 104 i.e 8.

3. How can I use the GCD of 448, 944, 320, 104Calculator?

Out the numbers 448, 944, 320, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.