GCD of 214, 784, 168, 824 Calculator

Given Input numbers are 214, 784, 168, 824

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (214, 784, 168, 824) = 2.

Given numbers are 214, 784, 168, 824

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 214, 784, 168, 824 is 2.

Given numbers are 214, 784, 168, 824

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

Apply this formula for all numbers.

Step1:

LCM(214, 784) = 83888

GCD(214, 784) = ( 214 x 784 ) / 83888

= 214 / 784

= 214

Step2:

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

= 2 / 168

= 2

Step3:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 214, 784, 168, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 348, 925, 323
• GCD of 278, 399, 819, 722
• GCD of 237, 325, 955, 744
• GCD of 822, 858, 164, 118
• GCD of 602, 409, 825, 113

Given numbers are 214, 784, 168, 824
The greatest common divisor of numbers 214, 784, 168, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 784, 168, 824 is 2.

1. What is the GCD of 214, 784, 168, 824?

GCD of given numbers 214, 784, 168, 824 is 2

2. How to calculate the greatest common divisor of 214, 784, 168, 824?

We can find the highest common divisor of 214, 784, 168, 824 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, 784, 168, 824 i.e 2.

3. How can I use the GCD of 214, 784, 168, 824Calculator?

Out the numbers 214, 784, 168, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.