GCD of 138, 371, 17 Calculator

Given Input numbers are 138, 371, 17

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 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 17 :

The positive integer divisors of 17 that completely divides 17 are.

1, 17

GCD of numbers is the greatest common divisor

So, the GCD (138, 371, 17) = 1.

Given numbers are 138, 371, 17

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 371 are 7 x 53

Prime factors of 17 are 17

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

Given numbers are 138, 371, 17

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

Apply this formula for all numbers.

Step1:

LCM(138, 371) = 51198

GCD(138, 371) = ( 138 x 371 ) / 51198

= 138 / 371

= 138

Step2:

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

= 1 / 17

= 1

So, Greatest Common Divisor of 138, 371, 17 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 568, 68
• GCD of 532, 413, 14
• GCD of 111, 249, 34
• GCD of 644, 460, 97
• GCD of 680, 668, 17

Given numbers are 138, 371, 17
The greatest common divisor of numbers 138, 371, 17 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 371, 17 is 1.

1. What is the GCD of 138, 371, 17?

GCD of given numbers 138, 371, 17 is 1

2. How to calculate the greatest common divisor of 138, 371, 17?

We can find the highest common divisor of 138, 371, 17 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, 371, 17 i.e 1.

3. How can I use the GCD of 138, 371, 17Calculator?

Out the numbers 138, 371, 17 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.