GCD of 214, 228, 670, 180 Calculator

Given Input numbers are 214, 228, 670, 180

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 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (214, 228, 670, 180) = 2.

Given numbers are 214, 228, 670, 180

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 670 are 2 x 5 x 67

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 214, 228, 670, 180 is 2.

Given numbers are 214, 228, 670, 180

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

Apply this formula for all numbers.

Step1:

LCM(214, 228) = 24396

GCD(214, 228) = ( 214 x 228 ) / 24396

= 214 / 228

= 214

Step2:

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

= 2 / 670

= 2

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 214, 228, 670, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 377, 272, 873
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Given numbers are 214, 228, 670, 180
The greatest common divisor of numbers 214, 228, 670, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 228, 670, 180 is 2.

1. What is the GCD of 214, 228, 670, 180?

GCD of given numbers 214, 228, 670, 180 is 2

2. How to calculate the greatest common divisor of 214, 228, 670, 180?

We can find the highest common divisor of 214, 228, 670, 180 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, 228, 670, 180 i.e 2.

3. How can I use the GCD of 214, 228, 670, 180Calculator?

Out the numbers 214, 228, 670, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.