GCD of 138, 318, 363, 402 Calculator

Given Input numbers are 138, 318, 363, 402

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 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (138, 318, 363, 402) = 3.

Given numbers are 138, 318, 363, 402

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 318 are 2 x 3 x 53

Prime factors of 363 are 3 x 11 x 11

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 3¹

Therefore, GCD of 138, 318, 363, 402 is 3.

Given numbers are 138, 318, 363, 402

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

Apply this formula for all numbers.

Step1:

LCM(138, 318) = 7314

GCD(138, 318) = ( 138 x 318 ) / 7314

= 138 / 318

= 138

Step2:

LCM(6, 363) = 726

GCD(6, 363) = ( 6 x 363 ) / 726

= 6 / 363

= 6

Step3:

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

= 3 / 402

= 3

So, Greatest Common Divisor of 138, 318, 363, 402 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 513, 867, 304
• GCD of 772, 896, 252, 702
• GCD of 191, 619, 515, 164
• GCD of 305, 670, 419, 583
• GCD of 317, 766, 321, 788

Given numbers are 138, 318, 363, 402
The greatest common divisor of numbers 138, 318, 363, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 318, 363, 402 is 3.

1. What is the GCD of 138, 318, 363, 402?

GCD of given numbers 138, 318, 363, 402 is 3

2. How to calculate the greatest common divisor of 138, 318, 363, 402?

We can find the highest common divisor of 138, 318, 363, 402 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, 318, 363, 402 i.e 3.

3. How can I use the GCD of 138, 318, 363, 402Calculator?

Out the numbers 138, 318, 363, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.