GCD of 462, 244, 450, 214 Calculator

Given Input numbers are 462, 244, 450, 214

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 244 :

The positive integer divisors of 244 that completely divides 244 are.

1, 2, 4, 61, 122, 244

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (462, 244, 450, 214) = 2.

Given numbers are 462, 244, 450, 214

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 244 are 2 x 2 x 61

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 462, 244, 450, 214 is 2.

Given numbers are 462, 244, 450, 214

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

Apply this formula for all numbers.

Step1:

LCM(462, 244) = 56364

GCD(462, 244) = ( 462 x 244 ) / 56364

= 462 / 244

= 462

Step2:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

Step3:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

So, Greatest Common Divisor of 462, 244, 450, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 522, 190, 218
• GCD of 215, 532, 418, 643
• GCD of 988, 686, 169, 354
• GCD of 663, 916, 826, 410
• GCD of 258, 136, 807, 762

Given numbers are 462, 244, 450, 214
The greatest common divisor of numbers 462, 244, 450, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 244, 450, 214 is 2.

1. What is the GCD of 462, 244, 450, 214?

GCD of given numbers 462, 244, 450, 214 is 2

2. How to calculate the greatest common divisor of 462, 244, 450, 214?

We can find the highest common divisor of 462, 244, 450, 214 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 462, 244, 450, 214 i.e 2.

3. How can I use the GCD of 462, 244, 450, 214Calculator?

Out the numbers 462, 244, 450, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.