GCD of 138, 206, 64, 306 Calculator

Given Input numbers are 138, 206, 64, 306

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 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 64 :

The positive integer divisors of 64 that completely divides 64 are.

1, 2, 4, 8, 16, 32, 64

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

GCD of numbers is the greatest common divisor

So, the GCD (138, 206, 64, 306) = 2.

Given numbers are 138, 206, 64, 306

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 206 are 2 x 103

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 306 are 2 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 138, 206, 64, 306 is 2.

Given numbers are 138, 206, 64, 306

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

Apply this formula for all numbers.

Step1:

LCM(138, 206) = 14214

GCD(138, 206) = ( 138 x 206 ) / 14214

= 138 / 206

= 138

Step2:

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

= 2 / 64

= 2

Step3:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

So, Greatest Common Divisor of 138, 206, 64, 306 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 831, 98, 393
• GCD of 112, 387, 82, 450
• GCD of 660, 828, 83, 981
• GCD of 496, 642, 23, 484
• GCD of 315, 576, 99, 365

Given numbers are 138, 206, 64, 306
The greatest common divisor of numbers 138, 206, 64, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 206, 64, 306 is 2.

1. What is the GCD of 138, 206, 64, 306?

GCD of given numbers 138, 206, 64, 306 is 2

2. How to calculate the greatest common divisor of 138, 206, 64, 306?

We can find the highest common divisor of 138, 206, 64, 306 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, 206, 64, 306 i.e 2.

3. How can I use the GCD of 138, 206, 64, 306Calculator?

Out the numbers 138, 206, 64, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.