GCD of 420, 364, 894, 214 Calculator

Given Input numbers are 420, 364, 894, 214

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

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

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 (420, 364, 894, 214) = 2.

Given numbers are 420, 364, 894, 214

The list of prime factors of all numbers are

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

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 894 are 2 x 3 x 149

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 420, 364, 894, 214 is 2.

Given numbers are 420, 364, 894, 214

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

Apply this formula for all numbers.

Step1:

LCM(420, 364) = 5460

GCD(420, 364) = ( 420 x 364 ) / 5460

= 420 / 364

= 420

Step2:

LCM(28, 894) = 12516

GCD(28, 894) = ( 28 x 894 ) / 12516

= 28 / 894

= 28

Step3:

LCM(2, 214) = 214

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

= 2 / 214

= 2

So, Greatest Common Divisor of 420, 364, 894, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 449, 829, 779
• GCD of 230, 875, 672, 438
• GCD of 644, 936, 341, 328
• GCD of 186, 218, 399, 726
• GCD of 673, 424, 552, 999

Given numbers are 420, 364, 894, 214
The greatest common divisor of numbers 420, 364, 894, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 364, 894, 214 is 2.

1. What is the GCD of 420, 364, 894, 214?

GCD of given numbers 420, 364, 894, 214 is 2

2. How to calculate the greatest common divisor of 420, 364, 894, 214?

We can find the highest common divisor of 420, 364, 894, 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 420, 364, 894, 214 i.e 2.

3. How can I use the GCD of 420, 364, 894, 214Calculator?

Out the numbers 420, 364, 894, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.