GCD of 214, 940, 132, 288 Calculator

Given Input numbers are 214, 940, 132, 288

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 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (214, 940, 132, 288) = 2.

Given numbers are 214, 940, 132, 288

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 214, 940, 132, 288 is 2.

Given numbers are 214, 940, 132, 288

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

Apply this formula for all numbers.

Step1:

LCM(214, 940) = 100580

GCD(214, 940) = ( 214 x 940 ) / 100580

= 214 / 940

= 214

Step2:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 214, 940, 132, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 849, 517, 882
• GCD of 158, 328, 410, 234
• GCD of 826, 573, 609, 399
• GCD of 547, 304, 523, 861
• GCD of 882, 655, 374, 659

Given numbers are 214, 940, 132, 288
The greatest common divisor of numbers 214, 940, 132, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 940, 132, 288 is 2.

1. What is the GCD of 214, 940, 132, 288?

GCD of given numbers 214, 940, 132, 288 is 2

2. How to calculate the greatest common divisor of 214, 940, 132, 288?

We can find the highest common divisor of 214, 940, 132, 288 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, 940, 132, 288 i.e 2.

3. How can I use the GCD of 214, 940, 132, 288Calculator?

Out the numbers 214, 940, 132, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.