GCD of 214, 354, 12, 420 Calculator

Given Input numbers are 214, 354, 12, 420

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

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (214, 354, 12, 420) = 2.

Given numbers are 214, 354, 12, 420

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 354 are 2 x 3 x 59

Prime factors of 12 are 2 x 2 x 3

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 214, 354, 12, 420 is 2.

Given numbers are 214, 354, 12, 420

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

Apply this formula for all numbers.

Step1:

LCM(214, 354) = 37878

GCD(214, 354) = ( 214 x 354 ) / 37878

= 214 / 354

= 214

Step2:

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

= 2 / 12

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 214, 354, 12, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 388, 40, 172
• GCD of 735, 339, 81, 567
• GCD of 453, 890, 34, 389
• GCD of 671, 500, 33, 815
• GCD of 808, 466, 22, 688

Given numbers are 214, 354, 12, 420
The greatest common divisor of numbers 214, 354, 12, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 354, 12, 420 is 2.

1. What is the GCD of 214, 354, 12, 420?

GCD of given numbers 214, 354, 12, 420 is 2

2. How to calculate the greatest common divisor of 214, 354, 12, 420?

We can find the highest common divisor of 214, 354, 12, 420 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 214, 354, 12, 420 i.e 2.

3. How can I use the GCD of 214, 354, 12, 420Calculator?

Out the numbers 214, 354, 12, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.