GCD of 908, 345, 240, 288 Calculator

Given Input numbers are 908, 345, 240, 288

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

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

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 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (908, 345, 240, 288) = 1.

Given numbers are 908, 345, 240, 288

The list of prime factors of all numbers are

Prime factors of 908 are 2 x 2 x 227

Prime factors of 345 are 3 x 5 x 23

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

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 908, 345, 240, 288

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

Apply this formula for all numbers.

Step1:

LCM(908, 345) = 313260

GCD(908, 345) = ( 908 x 345 ) / 313260

= 908 / 345

= 908

Step2:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

So, Greatest Common Divisor of 908, 345, 240, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 235, 361, 892
• GCD of 351, 438, 524, 460
• GCD of 618, 264, 254, 226
• GCD of 523, 244, 719, 839
• GCD of 680, 259, 641, 664

Given numbers are 908, 345, 240, 288
The greatest common divisor of numbers 908, 345, 240, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 345, 240, 288 is 1.

1. What is the GCD of 908, 345, 240, 288?

GCD of given numbers 908, 345, 240, 288 is 1

2. How to calculate the greatest common divisor of 908, 345, 240, 288?

We can find the highest common divisor of 908, 345, 240, 288 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 908, 345, 240, 288 i.e 1.

3. How can I use the GCD of 908, 345, 240, 288Calculator?

Out the numbers 908, 345, 240, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.