GCD of 138, 211, 208 Calculator

Given Input numbers are 138, 211, 208

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 211 :

The positive integer divisors of 211 that completely divides 211 are.

1, 211

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (138, 211, 208) = 1.

Given numbers are 138, 211, 208

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 211 are 211

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 138, 211, 208

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

Apply this formula for all numbers.

Step1:

LCM(138, 211) = 29118

GCD(138, 211) = ( 138 x 211 ) / 29118

= 138 / 211

= 138

Step2:

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

= 1 / 208

= 1

So, Greatest Common Divisor of 138, 211, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 378, 466
• GCD of 474, 137, 288
• GCD of 989, 598, 275
• GCD of 395, 345, 570
• GCD of 982, 713, 817

Given numbers are 138, 211, 208
The greatest common divisor of numbers 138, 211, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 211, 208 is 1.

1. What is the GCD of 138, 211, 208?

GCD of given numbers 138, 211, 208 is 1

2. How to calculate the greatest common divisor of 138, 211, 208?

We can find the highest common divisor of 138, 211, 208 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, 211, 208 i.e 1.

3. How can I use the GCD of 138, 211, 208Calculator?

Out the numbers 138, 211, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.