GCD of 200, 254, 466, 390 Calculator

Given Input numbers are 200, 254, 466, 390

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

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 254 :

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

1, 2, 127, 254

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD of numbers is the greatest common divisor

So, the GCD (200, 254, 466, 390) = 2.

Given numbers are 200, 254, 466, 390

The list of prime factors of all numbers are

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

Prime factors of 254 are 2 x 127

Prime factors of 466 are 2 x 233

Prime factors of 390 are 2 x 3 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 200, 254, 466, 390 is 2.

Given numbers are 200, 254, 466, 390

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

Apply this formula for all numbers.

Step1:

LCM(200, 254) = 25400

GCD(200, 254) = ( 200 x 254 ) / 25400

= 200 / 254

= 200

Step2:

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

= 2 / 466

= 2

Step3:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2

So, Greatest Common Divisor of 200, 254, 466, 390 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 419, 348, 621
• GCD of 567, 659, 236, 293
• GCD of 807, 216, 960, 277
• GCD of 801, 619, 342, 331
• GCD of 352, 523, 756, 238

Given numbers are 200, 254, 466, 390
The greatest common divisor of numbers 200, 254, 466, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 254, 466, 390 is 2.

1. What is the GCD of 200, 254, 466, 390?

GCD of given numbers 200, 254, 466, 390 is 2

2. How to calculate the greatest common divisor of 200, 254, 466, 390?

We can find the highest common divisor of 200, 254, 466, 390 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 200, 254, 466, 390 i.e 2.

3. How can I use the GCD of 200, 254, 466, 390Calculator?

Out the numbers 200, 254, 466, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.