GCD of 936, 108, 138, 381 Calculator

Given Input numbers are 936, 108, 138, 381

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

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 (936, 108, 138, 381) = 3.

Given numbers are 936, 108, 138, 381

The list of prime factors of all numbers are

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 138 are 2 x 3 x 23

Prime factors of 381 are 3 x 127

The highest common occurrence is 3¹

Therefore, GCD of 936, 108, 138, 381 is 3.

Given numbers are 936, 108, 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(936, 108) = 2808

GCD(936, 108) = ( 936 x 108 ) / 2808

= 936 / 108

= 936

Step2:

LCM(36, 138) = 828

GCD(36, 138) = ( 36 x 138 ) / 828

= 36 / 138

= 36

Step3:

LCM(6, 381) = 762

GCD(6, 381) = ( 6 x 381 ) / 762

= 6 / 381

= 6

So, Greatest Common Divisor of 936, 108, 138, 381 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 802, 252, 643, 104
• GCD of 211, 892, 637, 693
• GCD of 757, 581, 141, 497
• GCD of 877, 316, 598, 970
• GCD of 450, 551, 110, 752

Given numbers are 936, 108, 138, 381
The greatest common divisor of numbers 936, 108, 138, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 108, 138, 381 is 3.

1. What is the GCD of 936, 108, 138, 381?

GCD of given numbers 936, 108, 138, 381 is 3

2. How to calculate the greatest common divisor of 936, 108, 138, 381?

We can find the highest common divisor of 936, 108, 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 936, 108, 138, 381 i.e 3.

3. How can I use the GCD of 936, 108, 138, 381Calculator?

Out the numbers 936, 108, 138, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.