GCD of 214, 358, 332, 824 Calculator

Given Input numbers are 214, 358, 332, 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 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

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, 358, 332, 824) = 2.

Given numbers are 214, 358, 332, 824

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 358 are 2 x 179

Prime factors of 332 are 2 x 2 x 83

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

The highest common occurrence is 2¹

Therefore, GCD of 214, 358, 332, 824 is 2.

Given numbers are 214, 358, 332, 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, 358) = 38306

GCD(214, 358) = ( 214 x 358 ) / 38306

= 214 / 358

= 214

Step2:

LCM(2, 332) = 332

GCD(2, 332) = ( 2 x 332 ) / 332

= 2 / 332

= 2

Step3:

LCM(2, 824) = 824

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

= 2 / 824

= 2

So, Greatest Common Divisor of 214, 358, 332, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 424, 613, 316
• GCD of 920, 659, 468, 611
• GCD of 228, 145, 772, 555
• GCD of 958, 700, 857, 738
• GCD of 540, 766, 673, 118

Given numbers are 214, 358, 332, 824
The greatest common divisor of numbers 214, 358, 332, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 358, 332, 824 is 2.

1. What is the GCD of 214, 358, 332, 824?

GCD of given numbers 214, 358, 332, 824 is 2

2. How to calculate the greatest common divisor of 214, 358, 332, 824?

We can find the highest common divisor of 214, 358, 332, 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, 358, 332, 824 i.e 2.

3. How can I use the GCD of 214, 358, 332, 824Calculator?

Out the numbers 214, 358, 332, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.