GCD of 394, 600, 216, 254 Calculator

Given Input numbers are 394, 600, 216, 254

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

Divisors of 394 :

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

1, 2, 197, 394

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

GCD of numbers is the greatest common divisor

So, the GCD (394, 600, 216, 254) = 2.

Given numbers are 394, 600, 216, 254

The list of prime factors of all numbers are

Prime factors of 394 are 2 x 197

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 254 are 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 394, 600, 216, 254 is 2.

Given numbers are 394, 600, 216, 254

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

Apply this formula for all numbers.

Step1:

LCM(394, 600) = 118200

GCD(394, 600) = ( 394 x 600 ) / 118200

= 394 / 600

= 394

Step2:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

Step3:

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

= 2 / 254

= 2

So, Greatest Common Divisor of 394, 600, 216, 254 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 663, 260, 703, 439
• GCD of 629, 159, 917, 158
• GCD of 350, 321, 320, 328
• GCD of 712, 556, 512, 138
• GCD of 462, 859, 423, 975

Given numbers are 394, 600, 216, 254
The greatest common divisor of numbers 394, 600, 216, 254 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 394, 600, 216, 254 is 2.

1. What is the GCD of 394, 600, 216, 254?

GCD of given numbers 394, 600, 216, 254 is 2

2. How to calculate the greatest common divisor of 394, 600, 216, 254?

We can find the highest common divisor of 394, 600, 216, 254 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 394, 600, 216, 254 i.e 2.

3. How can I use the GCD of 394, 600, 216, 254Calculator?

Out the numbers 394, 600, 216, 254 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.