GCD of 440, 268, 816, 338 Calculator

Given Input numbers are 440, 268, 816, 338

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 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (440, 268, 816, 338) = 2.

Given numbers are 440, 268, 816, 338

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 268 are 2 x 2 x 67

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 440, 268, 816, 338 is 2.

Given numbers are 440, 268, 816, 338

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

Apply this formula for all numbers.

Step1:

LCM(440, 268) = 29480

GCD(440, 268) = ( 440 x 268 ) / 29480

= 440 / 268

= 440

Step2:

LCM(4, 816) = 816

GCD(4, 816) = ( 4 x 816 ) / 816

= 4 / 816

= 4

Step3:

LCM(4, 338) = 676

GCD(4, 338) = ( 4 x 338 ) / 676

= 4 / 338

= 4

So, Greatest Common Divisor of 440, 268, 816, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 802, 196, 588, 111
• GCD of 595, 337, 516, 857
• GCD of 825, 645, 301, 661
• GCD of 236, 603, 495, 593
• GCD of 319, 650, 869, 678

Given numbers are 440, 268, 816, 338
The greatest common divisor of numbers 440, 268, 816, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 268, 816, 338 is 2.

1. What is the GCD of 440, 268, 816, 338?

GCD of given numbers 440, 268, 816, 338 is 2

2. How to calculate the greatest common divisor of 440, 268, 816, 338?

We can find the highest common divisor of 440, 268, 816, 338 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, 268, 816, 338 i.e 2.

3. How can I use the GCD of 440, 268, 816, 338Calculator?

Out the numbers 440, 268, 816, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.