GCD of 344, 744, 550 Calculator

Given Input numbers are 344, 744, 550

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

Divisors of 344 :

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

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

GCD of numbers is the greatest common divisor

So, the GCD (344, 744, 550) = 2.

Given numbers are 344, 744, 550

The list of prime factors of all numbers are

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

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 550 are 2 x 5 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 344, 744, 550 is 2.

Given numbers are 344, 744, 550

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

Apply this formula for all numbers.

Step1:

LCM(344, 744) = 31992

GCD(344, 744) = ( 344 x 744 ) / 31992

= 344 / 744

= 344

Step2:

LCM(8, 550) = 2200

GCD(8, 550) = ( 8 x 550 ) / 2200

= 8 / 550

= 8

So, Greatest Common Divisor of 344, 744, 550 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 517, 936
• GCD of 496, 176, 844
• GCD of 210, 463, 832
• GCD of 977, 472, 166
• GCD of 645, 197, 165

Given numbers are 344, 744, 550
The greatest common divisor of numbers 344, 744, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 744, 550 is 2.

1. What is the GCD of 344, 744, 550?

GCD of given numbers 344, 744, 550 is 2

2. How to calculate the greatest common divisor of 344, 744, 550?

We can find the highest common divisor of 344, 744, 550 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 344, 744, 550 i.e 2.

3. How can I use the GCD of 344, 744, 550Calculator?

Out the numbers 344, 744, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.