GCD of 720, 418, 234, 228 Calculator

Given Input numbers are 720, 418, 234, 228

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 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

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 228 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (720, 418, 234, 228) = 2.

Given numbers are 720, 418, 234, 228

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 418 are 2 x 11 x 19

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

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

The highest common occurrence is 2¹

Therefore, GCD of 720, 418, 234, 228 is 2.

Given numbers are 720, 418, 234, 228

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

Apply this formula for all numbers.

Step1:

LCM(720, 418) = 150480

GCD(720, 418) = ( 720 x 418 ) / 150480

= 720 / 418

= 720

Step2:

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

= 2 / 234

= 2

Step3:

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

= 2 / 228

= 2

So, Greatest Common Divisor of 720, 418, 234, 228 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 428, 952, 526
• GCD of 259, 221, 984, 370
• GCD of 897, 332, 118, 963
• GCD of 876, 583, 276, 782
• GCD of 416, 757, 506, 331

Given numbers are 720, 418, 234, 228
The greatest common divisor of numbers 720, 418, 234, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 418, 234, 228 is 2.

1. What is the GCD of 720, 418, 234, 228?

GCD of given numbers 720, 418, 234, 228 is 2

2. How to calculate the greatest common divisor of 720, 418, 234, 228?

We can find the highest common divisor of 720, 418, 234, 228 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, 418, 234, 228 i.e 2.

3. How can I use the GCD of 720, 418, 234, 228Calculator?

Out the numbers 720, 418, 234, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.