GCD of 138, 388, 44, 896 Calculator

Given Input numbers are 138, 388, 44, 896

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

Divisors of 138 :

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

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

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 44 :

The positive integer divisors of 44 that completely divides 44 are.

1, 2, 4, 11, 22, 44

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

GCD of numbers is the greatest common divisor

So, the GCD (138, 388, 44, 896) = 2.

Given numbers are 138, 388, 44, 896

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 388 are 2 x 2 x 97

Prime factors of 44 are 2 x 2 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 138, 388, 44, 896 is 2.

Given numbers are 138, 388, 44, 896

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

Apply this formula for all numbers.

Step1:

LCM(138, 388) = 26772

GCD(138, 388) = ( 138 x 388 ) / 26772

= 138 / 388

= 138

Step2:

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

= 2 / 44

= 2

Step3:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

So, Greatest Common Divisor of 138, 388, 44, 896 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 477, 24, 324
• GCD of 367, 930, 34, 627
• GCD of 282, 704, 49, 809
• GCD of 333, 201, 56, 138
• GCD of 452, 776, 89, 786

Given numbers are 138, 388, 44, 896
The greatest common divisor of numbers 138, 388, 44, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 388, 44, 896 is 2.

1. What is the GCD of 138, 388, 44, 896?

GCD of given numbers 138, 388, 44, 896 is 2

2. How to calculate the greatest common divisor of 138, 388, 44, 896?

We can find the highest common divisor of 138, 388, 44, 896 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 138, 388, 44, 896 i.e 2.

3. How can I use the GCD of 138, 388, 44, 896Calculator?

Out the numbers 138, 388, 44, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.