GCD of 138, 394, 115, 916 Calculator

Given Input numbers are 138, 394, 115, 916

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 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (138, 394, 115, 916) = 1.

Given numbers are 138, 394, 115, 916

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 394 are 2 x 197

Prime factors of 115 are 5 x 23

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 138, 394, 115, 916

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

Apply this formula for all numbers.

Step1:

LCM(138, 394) = 27186

GCD(138, 394) = ( 138 x 394 ) / 27186

= 138 / 394

= 138

Step2:

LCM(2, 115) = 230

GCD(2, 115) = ( 2 x 115 ) / 230

= 2 / 115

= 2

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 138, 394, 115, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 532, 178, 144
• GCD of 200, 599, 997, 118
• GCD of 429, 732, 392, 564
• GCD of 561, 526, 870, 197
• GCD of 833, 829, 729, 500

Given numbers are 138, 394, 115, 916
The greatest common divisor of numbers 138, 394, 115, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 394, 115, 916 is 1.

1. What is the GCD of 138, 394, 115, 916?

GCD of given numbers 138, 394, 115, 916 is 1

2. How to calculate the greatest common divisor of 138, 394, 115, 916?

We can find the highest common divisor of 138, 394, 115, 916 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, 394, 115, 916 i.e 1.

3. How can I use the GCD of 138, 394, 115, 916Calculator?

Out the numbers 138, 394, 115, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.