GCD of 404, 744, 220, 216 Calculator

Given Input numbers are 404, 744, 220, 216

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

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (404, 744, 220, 216) = 4.

Given numbers are 404, 744, 220, 216

The list of prime factors of all numbers are

Prime factors of 404 are 2 x 2 x 101

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 404, 744, 220, 216 is 4.

Given numbers are 404, 744, 220, 216

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

Apply this formula for all numbers.

Step1:

LCM(404, 744) = 75144

GCD(404, 744) = ( 404 x 744 ) / 75144

= 404 / 744

= 404

Step2:

LCM(4, 220) = 220

GCD(4, 220) = ( 4 x 220 ) / 220

= 4 / 220

= 4

Step3:

LCM(4, 216) = 216

GCD(4, 216) = ( 4 x 216 ) / 216

= 4 / 216

= 4

So, Greatest Common Divisor of 404, 744, 220, 216 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 665, 751, 703
• GCD of 763, 770, 215, 475
• GCD of 582, 223, 843, 604
• GCD of 528, 108, 594, 328
• GCD of 820, 228, 495, 257

Given numbers are 404, 744, 220, 216
The greatest common divisor of numbers 404, 744, 220, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 404, 744, 220, 216 is 4.

1. What is the GCD of 404, 744, 220, 216?

GCD of given numbers 404, 744, 220, 216 is 4

2. How to calculate the greatest common divisor of 404, 744, 220, 216?

We can find the highest common divisor of 404, 744, 220, 216 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 404, 744, 220, 216 i.e 4.

3. How can I use the GCD of 404, 744, 220, 216Calculator?

Out the numbers 404, 744, 220, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.