GCD of 412, 414, 309, 628 Calculator

Given Input numbers are 412, 414, 309, 628

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

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

GCD of numbers is the greatest common divisor

So, the GCD (412, 414, 309, 628) = 1.

Given numbers are 412, 414, 309, 628

The list of prime factors of all numbers are

Prime factors of 412 are 2 x 2 x 103

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

Prime factors of 309 are 3 x 103

Prime factors of 628 are 2 x 2 x 157

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

Given numbers are 412, 414, 309, 628

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

Apply this formula for all numbers.

Step1:

LCM(412, 414) = 85284

GCD(412, 414) = ( 412 x 414 ) / 85284

= 412 / 414

= 412

Step2:

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

= 2 / 309

= 2

Step3:

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

= 1 / 628

= 1

So, Greatest Common Divisor of 412, 414, 309, 628 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 150, 275, 781
• GCD of 260, 699, 323, 899
• GCD of 636, 509, 106, 710
• GCD of 248, 905, 811, 564
• GCD of 740, 434, 538, 306

Given numbers are 412, 414, 309, 628
The greatest common divisor of numbers 412, 414, 309, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 414, 309, 628 is 1.

1. What is the GCD of 412, 414, 309, 628?

GCD of given numbers 412, 414, 309, 628 is 1

2. How to calculate the greatest common divisor of 412, 414, 309, 628?

We can find the highest common divisor of 412, 414, 309, 628 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 412, 414, 309, 628 i.e 1.

3. How can I use the GCD of 412, 414, 309, 628Calculator?

Out the numbers 412, 414, 309, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.