GCD of 290, 456, 24, 396 Calculator

Given Input numbers are 290, 456, 24, 396

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

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (290, 456, 24, 396) = 2.

Given numbers are 290, 456, 24, 396

The list of prime factors of all numbers are

Prime factors of 290 are 2 x 5 x 29

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 290, 456, 24, 396 is 2.

Given numbers are 290, 456, 24, 396

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

Apply this formula for all numbers.

Step1:

LCM(290, 456) = 66120

GCD(290, 456) = ( 290 x 456 ) / 66120

= 290 / 456

= 290

Step2:

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

= 2 / 24

= 2

Step3:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

So, Greatest Common Divisor of 290, 456, 24, 396 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 919, 32, 353
• GCD of 980, 628, 96, 293
• GCD of 130, 244, 53, 276
• GCD of 904, 468, 24, 838
• GCD of 381, 991, 10, 226

Given numbers are 290, 456, 24, 396
The greatest common divisor of numbers 290, 456, 24, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 456, 24, 396 is 2.

1. What is the GCD of 290, 456, 24, 396?

GCD of given numbers 290, 456, 24, 396 is 2

2. How to calculate the greatest common divisor of 290, 456, 24, 396?

We can find the highest common divisor of 290, 456, 24, 396 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 290, 456, 24, 396 i.e 2.

3. How can I use the GCD of 290, 456, 24, 396Calculator?

Out the numbers 290, 456, 24, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.