GCD of 138, 323, 614, 365 Calculator

Given Input numbers are 138, 323, 614, 365

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 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

GCD of numbers is the greatest common divisor

So, the GCD (138, 323, 614, 365) = 1.

Given numbers are 138, 323, 614, 365

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 323 are 17 x 19

Prime factors of 614 are 2 x 307

Prime factors of 365 are 5 x 73

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

Given numbers are 138, 323, 614, 365

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

Apply this formula for all numbers.

Step1:

LCM(138, 323) = 44574

GCD(138, 323) = ( 138 x 323 ) / 44574

= 138 / 323

= 138

Step2:

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

= 1 / 614

= 1

Step3:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1

So, Greatest Common Divisor of 138, 323, 614, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 579, 763, 209, 745
• GCD of 271, 930, 132, 442
• GCD of 430, 591, 255, 723
• GCD of 603, 362, 410, 428
• GCD of 474, 908, 264, 344

Given numbers are 138, 323, 614, 365
The greatest common divisor of numbers 138, 323, 614, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 323, 614, 365 is 1.

1. What is the GCD of 138, 323, 614, 365?

GCD of given numbers 138, 323, 614, 365 is 1

2. How to calculate the greatest common divisor of 138, 323, 614, 365?

We can find the highest common divisor of 138, 323, 614, 365 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, 323, 614, 365 i.e 1.

3. How can I use the GCD of 138, 323, 614, 365Calculator?

Out the numbers 138, 323, 614, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.