GCD of 448, 380, 32 Calculator

Given Input numbers are 448, 380, 32

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 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 32 :

The positive integer divisors of 32 that completely divides 32 are.

1, 2, 4, 8, 16, 32

GCD of numbers is the greatest common divisor

So, the GCD (448, 380, 32) = 4.

Given numbers are 448, 380, 32

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 380 are 2 x 2 x 5 x 19

Prime factors of 32 are 2 x 2 x 2 x 2 x 2

The highest common occurrence is 2²

Therefore, GCD of 448, 380, 32 is 4.

Given numbers are 448, 380, 32

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

Apply this formula for all numbers.

Step1:

LCM(448, 380) = 42560

GCD(448, 380) = ( 448 x 380 ) / 42560

= 448 / 380

= 448

Step2:

LCM(4, 32) = 32

GCD(4, 32) = ( 4 x 32 ) / 32

= 4 / 32

= 4

So, Greatest Common Divisor of 448, 380, 32 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 331, 58
• GCD of 302, 545, 15
• GCD of 899, 494, 21
• GCD of 136, 233, 32
• GCD of 907, 315, 20

Given numbers are 448, 380, 32
The greatest common divisor of numbers 448, 380, 32 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 380, 32 is 4.

1. What is the GCD of 448, 380, 32?

GCD of given numbers 448, 380, 32 is 4

2. How to calculate the greatest common divisor of 448, 380, 32?

We can find the highest common divisor of 448, 380, 32 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, 380, 32 i.e 4.

3. How can I use the GCD of 448, 380, 32Calculator?

Out the numbers 448, 380, 32 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.