GCD of 514, 576, 550, 738 Calculator

Given Input numbers are 514, 576, 550, 738

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

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (514, 576, 550, 738) = 2.

Given numbers are 514, 576, 550, 738

The list of prime factors of all numbers are

Prime factors of 514 are 2 x 257

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 738 are 2 x 3 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 514, 576, 550, 738 is 2.

Given numbers are 514, 576, 550, 738

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

Apply this formula for all numbers.

Step1:

LCM(514, 576) = 148032

GCD(514, 576) = ( 514 x 576 ) / 148032

= 514 / 576

= 514

Step2:

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

= 2 / 550

= 2

Step3:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

So, Greatest Common Divisor of 514, 576, 550, 738 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 584, 907, 874
• GCD of 836, 959, 825, 565
• GCD of 875, 193, 337, 619
• GCD of 433, 588, 657, 975
• GCD of 564, 952, 545, 553

Given numbers are 514, 576, 550, 738
The greatest common divisor of numbers 514, 576, 550, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 514, 576, 550, 738 is 2.

1. What is the GCD of 514, 576, 550, 738?

GCD of given numbers 514, 576, 550, 738 is 2

2. How to calculate the greatest common divisor of 514, 576, 550, 738?

We can find the highest common divisor of 514, 576, 550, 738 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 514, 576, 550, 738 i.e 2.

3. How can I use the GCD of 514, 576, 550, 738Calculator?

Out the numbers 514, 576, 550, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.