GCD of 448, 406, 428, 381 Calculator

Given Input numbers are 448, 406, 428, 381

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 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (448, 406, 428, 381) = 1.

Given numbers are 448, 406, 428, 381

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 406 are 2 x 7 x 29

Prime factors of 428 are 2 x 2 x 107

Prime factors of 381 are 3 x 127

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 448, 406, 428, 381

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

Apply this formula for all numbers.

Step1:

LCM(448, 406) = 12992

GCD(448, 406) = ( 448 x 406 ) / 12992

= 448 / 406

= 448

Step2:

LCM(14, 428) = 2996

GCD(14, 428) = ( 14 x 428 ) / 2996

= 14 / 428

= 14

Step3:

LCM(2, 381) = 762

GCD(2, 381) = ( 2 x 381 ) / 762

= 2 / 381

= 2

So, Greatest Common Divisor of 448, 406, 428, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 466, 285, 146, 467
• GCD of 332, 185, 608, 437
• GCD of 142, 419, 794, 296
• GCD of 322, 105, 189, 383
• GCD of 846, 984, 483, 600

Given numbers are 448, 406, 428, 381
The greatest common divisor of numbers 448, 406, 428, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 406, 428, 381 is 1.

1. What is the GCD of 448, 406, 428, 381?

GCD of given numbers 448, 406, 428, 381 is 1

2. How to calculate the greatest common divisor of 448, 406, 428, 381?

We can find the highest common divisor of 448, 406, 428, 381 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, 406, 428, 381 i.e 1.

3. How can I use the GCD of 448, 406, 428, 381Calculator?

Out the numbers 448, 406, 428, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.