GCD of 208, 230, 472, 240 Calculator

Given Input numbers are 208, 230, 472, 240

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

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

GCD of numbers is the greatest common divisor

So, the GCD (208, 230, 472, 240) = 2.

Given numbers are 208, 230, 472, 240

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 230 are 2 x 5 x 23

Prime factors of 472 are 2 x 2 x 2 x 59

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

The highest common occurrence is 2¹

Therefore, GCD of 208, 230, 472, 240 is 2.

Given numbers are 208, 230, 472, 240

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

Apply this formula for all numbers.

Step1:

LCM(208, 230) = 23920

GCD(208, 230) = ( 208 x 230 ) / 23920

= 208 / 230

= 208

Step2:

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

= 2 / 472

= 2

Step3:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

So, Greatest Common Divisor of 208, 230, 472, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 415, 214, 644
• GCD of 515, 365, 675, 562
• GCD of 708, 175, 109, 349
• GCD of 349, 634, 415, 662
• GCD of 236, 558, 180, 178

Given numbers are 208, 230, 472, 240
The greatest common divisor of numbers 208, 230, 472, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 230, 472, 240 is 2.

1. What is the GCD of 208, 230, 472, 240?

GCD of given numbers 208, 230, 472, 240 is 2

2. How to calculate the greatest common divisor of 208, 230, 472, 240?

We can find the highest common divisor of 208, 230, 472, 240 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 208, 230, 472, 240 i.e 2.

3. How can I use the GCD of 208, 230, 472, 240Calculator?

Out the numbers 208, 230, 472, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.