GCD of 918, 344, 582, 344 Calculator

Given Input numbers are 918, 344, 582, 344

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (918, 344, 582, 344) = 2.

Given numbers are 918, 344, 582, 344

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 582 are 2 x 3 x 97

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 918, 344, 582, 344 is 2.

Given numbers are 918, 344, 582, 344

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

Apply this formula for all numbers.

Step1:

LCM(918, 344) = 157896

GCD(918, 344) = ( 918 x 344 ) / 157896

= 918 / 344

= 918

Step2:

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

= 2 / 582

= 2

Step3:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2

So, Greatest Common Divisor of 918, 344, 582, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 925, 429, 450
• GCD of 777, 218, 166, 441
• GCD of 473, 591, 262, 185
• GCD of 521, 177, 255, 213
• GCD of 901, 334, 934, 368

Given numbers are 918, 344, 582, 344
The greatest common divisor of numbers 918, 344, 582, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 344, 582, 344 is 2.

1. What is the GCD of 918, 344, 582, 344?

GCD of given numbers 918, 344, 582, 344 is 2

2. How to calculate the greatest common divisor of 918, 344, 582, 344?

We can find the highest common divisor of 918, 344, 582, 344 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 918, 344, 582, 344 i.e 2.

3. How can I use the GCD of 918, 344, 582, 344Calculator?

Out the numbers 918, 344, 582, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.