GCD of 380, 234, 732, 218 Calculator

Given Input numbers are 380, 234, 732, 218

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (380, 234, 732, 218) = 2.

Given numbers are 380, 234, 732, 218

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 380, 234, 732, 218 is 2.

Given numbers are 380, 234, 732, 218

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

Apply this formula for all numbers.

Step1:

LCM(380, 234) = 44460

GCD(380, 234) = ( 380 x 234 ) / 44460

= 380 / 234

= 380

Step2:

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

= 2 / 732

= 2

Step3:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2

So, Greatest Common Divisor of 380, 234, 732, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 663, 974, 843, 105
• GCD of 703, 404, 314, 444
• GCD of 831, 268, 225, 257
• GCD of 986, 821, 575, 478
• GCD of 223, 997, 565, 240

Given numbers are 380, 234, 732, 218
The greatest common divisor of numbers 380, 234, 732, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 234, 732, 218 is 2.

1. What is the GCD of 380, 234, 732, 218?

GCD of given numbers 380, 234, 732, 218 is 2

2. How to calculate the greatest common divisor of 380, 234, 732, 218?

We can find the highest common divisor of 380, 234, 732, 218 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 380, 234, 732, 218 i.e 2.

3. How can I use the GCD of 380, 234, 732, 218Calculator?

Out the numbers 380, 234, 732, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.