GCD of 428, 200, 338, 396 Calculator

Given Input numbers are 428, 200, 338, 396

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 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (428, 200, 338, 396) = 2.

Given numbers are 428, 200, 338, 396

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 338 are 2 x 13 x 13

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 428, 200, 338, 396 is 2.

Given numbers are 428, 200, 338, 396

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

Apply this formula for all numbers.

Step1:

LCM(428, 200) = 21400

GCD(428, 200) = ( 428 x 200 ) / 21400

= 428 / 200

= 428

Step2:

LCM(4, 338) = 676

GCD(4, 338) = ( 4 x 338 ) / 676

= 4 / 338

= 4

Step3:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

So, Greatest Common Divisor of 428, 200, 338, 396 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 174, 274, 189
• GCD of 659, 323, 925, 538
• GCD of 573, 883, 915, 880
• GCD of 891, 946, 402, 919
• GCD of 436, 699, 429, 806

Given numbers are 428, 200, 338, 396
The greatest common divisor of numbers 428, 200, 338, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 200, 338, 396 is 2.

1. What is the GCD of 428, 200, 338, 396?

GCD of given numbers 428, 200, 338, 396 is 2

2. How to calculate the greatest common divisor of 428, 200, 338, 396?

We can find the highest common divisor of 428, 200, 338, 396 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, 200, 338, 396 i.e 2.

3. How can I use the GCD of 428, 200, 338, 396Calculator?

Out the numbers 428, 200, 338, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.