GCD of 138, 438, 399, 240 Calculator

Given Input numbers are 138, 438, 399, 240

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (138, 438, 399, 240) = 3.

Given numbers are 138, 438, 399, 240

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 438 are 2 x 3 x 73

Prime factors of 399 are 3 x 7 x 19

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 138, 438, 399, 240 is 3.

Given numbers are 138, 438, 399, 240

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

Apply this formula for all numbers.

Step1:

LCM(138, 438) = 10074

GCD(138, 438) = ( 138 x 438 ) / 10074

= 138 / 438

= 138

Step2:

LCM(6, 399) = 798

GCD(6, 399) = ( 6 x 399 ) / 798

= 6 / 399

= 6

Step3:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

So, Greatest Common Divisor of 138, 438, 399, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 365, 945, 241
• GCD of 507, 837, 372, 509
• GCD of 148, 100, 858, 113
• GCD of 754, 906, 471, 261
• GCD of 348, 515, 609, 927

Given numbers are 138, 438, 399, 240
The greatest common divisor of numbers 138, 438, 399, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 438, 399, 240 is 3.

1. What is the GCD of 138, 438, 399, 240?

GCD of given numbers 138, 438, 399, 240 is 3

2. How to calculate the greatest common divisor of 138, 438, 399, 240?

We can find the highest common divisor of 138, 438, 399, 240 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, 438, 399, 240 i.e 3.

3. How can I use the GCD of 138, 438, 399, 240Calculator?

Out the numbers 138, 438, 399, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.