GCD of 380, 820, 16, 212 Calculator

Given Input numbers are 380, 820, 16, 212

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

GCD of numbers is the greatest common divisor

So, the GCD (380, 820, 16, 212) = 4.

Given numbers are 380, 820, 16, 212

The list of prime factors of all numbers are

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

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 16 are 2 x 2 x 2 x 2

Prime factors of 212 are 2 x 2 x 53

The highest common occurrence is 2²

Therefore, GCD of 380, 820, 16, 212 is 4.

Given numbers are 380, 820, 16, 212

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

Apply this formula for all numbers.

Step1:

LCM(380, 820) = 15580

GCD(380, 820) = ( 380 x 820 ) / 15580

= 380 / 820

= 380

Step2:

LCM(20, 16) = 80

GCD(20, 16) = ( 20 x 16 ) / 80

= 20 / 16

= 20

Step3:

LCM(4, 212) = 212

GCD(4, 212) = ( 4 x 212 ) / 212

= 4 / 212

= 4

So, Greatest Common Divisor of 380, 820, 16, 212 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 336, 90, 509
• GCD of 320, 846, 12, 422
• GCD of 136, 383, 97, 244
• GCD of 692, 530, 16, 665
• GCD of 223, 312, 68, 958

Given numbers are 380, 820, 16, 212
The greatest common divisor of numbers 380, 820, 16, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 820, 16, 212 is 4.

1. What is the GCD of 380, 820, 16, 212?

GCD of given numbers 380, 820, 16, 212 is 4

2. How to calculate the greatest common divisor of 380, 820, 16, 212?

We can find the highest common divisor of 380, 820, 16, 212 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, 820, 16, 212 i.e 4.

3. How can I use the GCD of 380, 820, 16, 212Calculator?

Out the numbers 380, 820, 16, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.