GCD of 720, 306, 422, 224 Calculator

Given Input numbers are 720, 306, 422, 224

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (720, 306, 422, 224) = 2.

Given numbers are 720, 306, 422, 224

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 422 are 2 x 211

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 720, 306, 422, 224 is 2.

Given numbers are 720, 306, 422, 224

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

Apply this formula for all numbers.

Step1:

LCM(720, 306) = 12240

GCD(720, 306) = ( 720 x 306 ) / 12240

= 720 / 306

= 720

Step2:

LCM(18, 422) = 3798

GCD(18, 422) = ( 18 x 422 ) / 3798

= 18 / 422

= 18

Step3:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2

So, Greatest Common Divisor of 720, 306, 422, 224 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 318, 138, 100
• GCD of 427, 877, 585, 183
• GCD of 977, 187, 348, 855
• GCD of 461, 299, 833, 417
• GCD of 781, 682, 213, 339

Given numbers are 720, 306, 422, 224
The greatest common divisor of numbers 720, 306, 422, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 306, 422, 224 is 2.

1. What is the GCD of 720, 306, 422, 224?

GCD of given numbers 720, 306, 422, 224 is 2

2. How to calculate the greatest common divisor of 720, 306, 422, 224?

We can find the highest common divisor of 720, 306, 422, 224 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 720, 306, 422, 224 i.e 2.

3. How can I use the GCD of 720, 306, 422, 224Calculator?

Out the numbers 720, 306, 422, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.