GCD of 109, 321, 728, 414 Calculator

Given Input numbers are 109, 321, 728, 414

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 321 :

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

1, 3, 107, 321

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (109, 321, 728, 414) = 1.

Given numbers are 109, 321, 728, 414

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 321 are 3 x 107

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 414 are 2 x 3 x 3 x 23

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

Given numbers are 109, 321, 728, 414

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

Apply this formula for all numbers.

Step1:

LCM(109, 321) = 34989

GCD(109, 321) = ( 109 x 321 ) / 34989

= 109 / 321

= 109

Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

Step3:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

So, Greatest Common Divisor of 109, 321, 728, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 974, 153, 342
• GCD of 946, 647, 415, 803
• GCD of 693, 463, 460, 692
• GCD of 414, 594, 777, 719
• GCD of 562, 702, 524, 323

Given numbers are 109, 321, 728, 414
The greatest common divisor of numbers 109, 321, 728, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 321, 728, 414 is 1.

1. What is the GCD of 109, 321, 728, 414?

GCD of given numbers 109, 321, 728, 414 is 1

2. How to calculate the greatest common divisor of 109, 321, 728, 414?

We can find the highest common divisor of 109, 321, 728, 414 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 109, 321, 728, 414 i.e 1.

3. How can I use the GCD of 109, 321, 728, 414Calculator?

Out the numbers 109, 321, 728, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.