GCD of 412, 772, 394, 678 Calculator

Given Input numbers are 412, 772, 394, 678

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 394 :

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

1, 2, 197, 394

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (412, 772, 394, 678) = 2.

Given numbers are 412, 772, 394, 678

The list of prime factors of all numbers are

Prime factors of 412 are 2 x 2 x 103

Prime factors of 772 are 2 x 2 x 193

Prime factors of 394 are 2 x 197

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 412, 772, 394, 678 is 2.

Given numbers are 412, 772, 394, 678

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

Apply this formula for all numbers.

Step1:

LCM(412, 772) = 79516

GCD(412, 772) = ( 412 x 772 ) / 79516

= 412 / 772

= 412

Step2:

LCM(4, 394) = 788

GCD(4, 394) = ( 4 x 394 ) / 788

= 4 / 394

= 4

Step3:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

So, Greatest Common Divisor of 412, 772, 394, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 622, 440, 325
• GCD of 405, 655, 535, 200
• GCD of 967, 311, 105, 483
• GCD of 325, 434, 412, 276
• GCD of 368, 810, 155, 838

Given numbers are 412, 772, 394, 678
The greatest common divisor of numbers 412, 772, 394, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 772, 394, 678 is 2.

1. What is the GCD of 412, 772, 394, 678?

GCD of given numbers 412, 772, 394, 678 is 2

2. How to calculate the greatest common divisor of 412, 772, 394, 678?

We can find the highest common divisor of 412, 772, 394, 678 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, 772, 394, 678 i.e 2.

3. How can I use the GCD of 412, 772, 394, 678Calculator?

Out the numbers 412, 772, 394, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.