GCD of 240, 420, 488, 228 Calculator

Given Input numbers are 240, 420, 488, 228

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

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 (240, 420, 488, 228) = 4.

Given numbers are 240, 420, 488, 228

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 488 are 2 x 2 x 2 x 61

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

The highest common occurrence is 2²

Therefore, GCD of 240, 420, 488, 228 is 4.

Given numbers are 240, 420, 488, 228

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

Apply this formula for all numbers.

Step1:

LCM(240, 420) = 1680

GCD(240, 420) = ( 240 x 420 ) / 1680

= 240 / 420

= 240

Step2:

LCM(60, 488) = 7320

GCD(60, 488) = ( 60 x 488 ) / 7320

= 60 / 488

= 60

Step3:

LCM(4, 228) = 228

GCD(4, 228) = ( 4 x 228 ) / 228

= 4 / 228

= 4

So, Greatest Common Divisor of 240, 420, 488, 228 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 676, 839, 248
• GCD of 337, 452, 847, 442
• GCD of 437, 184, 539, 719
• GCD of 901, 981, 852, 344
• GCD of 238, 954, 745, 658

Given numbers are 240, 420, 488, 228
The greatest common divisor of numbers 240, 420, 488, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 420, 488, 228 is 4.

1. What is the GCD of 240, 420, 488, 228?

GCD of given numbers 240, 420, 488, 228 is 4

2. How to calculate the greatest common divisor of 240, 420, 488, 228?

We can find the highest common divisor of 240, 420, 488, 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 240, 420, 488, 228 i.e 4.

3. How can I use the GCD of 240, 420, 488, 228Calculator?

Out the numbers 240, 420, 488, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.