GCD of 428, 814, 606, 398 Calculator

Given Input numbers are 428, 814, 606, 398

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (428, 814, 606, 398) = 2.

Given numbers are 428, 814, 606, 398

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 814 are 2 x 11 x 37

Prime factors of 606 are 2 x 3 x 101

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 428, 814, 606, 398 is 2.

Given numbers are 428, 814, 606, 398

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

Apply this formula for all numbers.

Step1:

LCM(428, 814) = 174196

GCD(428, 814) = ( 428 x 814 ) / 174196

= 428 / 814

= 428

Step2:

LCM(2, 606) = 606

GCD(2, 606) = ( 2 x 606 ) / 606

= 2 / 606

= 2

Step3:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 428, 814, 606, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 387, 633, 784
• GCD of 260, 309, 812, 781
• GCD of 607, 989, 924, 836
• GCD of 597, 253, 227, 313
• GCD of 888, 292, 962, 293

Given numbers are 428, 814, 606, 398
The greatest common divisor of numbers 428, 814, 606, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 814, 606, 398 is 2.

1. What is the GCD of 428, 814, 606, 398?

GCD of given numbers 428, 814, 606, 398 is 2

2. How to calculate the greatest common divisor of 428, 814, 606, 398?

We can find the highest common divisor of 428, 814, 606, 398 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 428, 814, 606, 398 i.e 2.

3. How can I use the GCD of 428, 814, 606, 398Calculator?

Out the numbers 428, 814, 606, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.