GCD of 896, 642, 138, 381 Calculator

Given Input numbers are 896, 642, 138, 381

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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 (896, 642, 138, 381) = 1.

Given numbers are 896, 642, 138, 381

The list of prime factors of all numbers are

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 642 are 2 x 3 x 107

Prime factors of 138 are 2 x 3 x 23

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 896, 642, 138, 381

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

Apply this formula for all numbers.

Step1:

LCM(896, 642) = 287616

GCD(896, 642) = ( 896 x 642 ) / 287616

= 896 / 642

= 896

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 381) = 762

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

= 2 / 381

= 2

So, Greatest Common Divisor of 896, 642, 138, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 751, 174, 815, 393
• GCD of 487, 547, 122, 323
• GCD of 473, 205, 229, 815
• GCD of 582, 298, 935, 539
• GCD of 735, 904, 911, 348

Given numbers are 896, 642, 138, 381
The greatest common divisor of numbers 896, 642, 138, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 642, 138, 381 is 1.

1. What is the GCD of 896, 642, 138, 381?

GCD of given numbers 896, 642, 138, 381 is 1

2. How to calculate the greatest common divisor of 896, 642, 138, 381?

We can find the highest common divisor of 896, 642, 138, 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 896, 642, 138, 381 i.e 1.

3. How can I use the GCD of 896, 642, 138, 381Calculator?

Out the numbers 896, 642, 138, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.