GCD of 990, 334, 214, 460 Calculator

Given Input numbers are 990, 334, 214, 460

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (990, 334, 214, 460) = 2.

Given numbers are 990, 334, 214, 460

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 334 are 2 x 167

Prime factors of 214 are 2 x 107

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 990, 334, 214, 460 is 2.

Given numbers are 990, 334, 214, 460

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

Apply this formula for all numbers.

Step1:

LCM(990, 334) = 165330

GCD(990, 334) = ( 990 x 334 ) / 165330

= 990 / 334

= 990

Step2:

LCM(2, 214) = 214

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

= 2 / 214

= 2

Step3:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

So, Greatest Common Divisor of 990, 334, 214, 460 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 673, 471, 672
• GCD of 776, 128, 195, 734
• GCD of 584, 187, 189, 140
• GCD of 960, 991, 911, 349
• GCD of 320, 623, 401, 367

Given numbers are 990, 334, 214, 460
The greatest common divisor of numbers 990, 334, 214, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 334, 214, 460 is 2.

1. What is the GCD of 990, 334, 214, 460?

GCD of given numbers 990, 334, 214, 460 is 2

2. How to calculate the greatest common divisor of 990, 334, 214, 460?

We can find the highest common divisor of 990, 334, 214, 460 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 990, 334, 214, 460 i.e 2.

3. How can I use the GCD of 990, 334, 214, 460Calculator?

Out the numbers 990, 334, 214, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.