GCD of 105, 321, 387, 494 Calculator

Given Input numbers are 105, 321, 387, 494

In the factoring method, we have to find the divisors of all numbers

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

GCD of numbers is the greatest common divisor

So, the GCD (105, 321, 387, 494) = 1.

Given numbers are 105, 321, 387, 494

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 321 are 3 x 107

Prime factors of 387 are 3 x 3 x 43

Prime factors of 494 are 2 x 13 x 19

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

Given numbers are 105, 321, 387, 494

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

Apply this formula for all numbers.

Step1:

LCM(105, 321) = 11235

GCD(105, 321) = ( 105 x 321 ) / 11235

= 105 / 321

= 105

Step2:

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

= 3 / 387

= 3

Step3:

LCM(3, 494) = 1482

GCD(3, 494) = ( 3 x 494 ) / 1482

= 3 / 494

= 3

So, Greatest Common Divisor of 105, 321, 387, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 580, 545, 487
• GCD of 110, 304, 753, 412
• GCD of 300, 374, 263, 432
• GCD of 188, 113, 178, 536
• GCD of 572, 536, 312, 452

Given numbers are 105, 321, 387, 494
The greatest common divisor of numbers 105, 321, 387, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 321, 387, 494 is 1.

1. What is the GCD of 105, 321, 387, 494?

GCD of given numbers 105, 321, 387, 494 is 1

2. How to calculate the greatest common divisor of 105, 321, 387, 494?

We can find the highest common divisor of 105, 321, 387, 494 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 105, 321, 387, 494 i.e 1.

3. How can I use the GCD of 105, 321, 387, 494Calculator?

Out the numbers 105, 321, 387, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.