GCD of 440, 524, 344, 442 Calculator

Given Input numbers are 440, 524, 344, 442

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

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 344 :

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

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (440, 524, 344, 442) = 2.

Given numbers are 440, 524, 344, 442

The list of prime factors of all numbers are

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 524 are 2 x 2 x 131

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

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 440, 524, 344, 442 is 2.

Given numbers are 440, 524, 344, 442

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

Apply this formula for all numbers.

Step1:

LCM(440, 524) = 57640

GCD(440, 524) = ( 440 x 524 ) / 57640

= 440 / 524

= 440

Step2:

LCM(4, 344) = 344

GCD(4, 344) = ( 4 x 344 ) / 344

= 4 / 344

= 4

Step3:

LCM(4, 442) = 884

GCD(4, 442) = ( 4 x 442 ) / 884

= 4 / 442

= 4

So, Greatest Common Divisor of 440, 524, 344, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 712, 765, 583
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• GCD of 366, 875, 105, 268
• GCD of 657, 238, 998, 498
• GCD of 732, 930, 772, 587

Given numbers are 440, 524, 344, 442
The greatest common divisor of numbers 440, 524, 344, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 524, 344, 442 is 2.

1. What is the GCD of 440, 524, 344, 442?

GCD of given numbers 440, 524, 344, 442 is 2

2. How to calculate the greatest common divisor of 440, 524, 344, 442?

We can find the highest common divisor of 440, 524, 344, 442 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 440, 524, 344, 442 i.e 2.

3. How can I use the GCD of 440, 524, 344, 442Calculator?

Out the numbers 440, 524, 344, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.