GCD of 550, 496, 300 Calculator

Given Input numbers are 550, 496, 300

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

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 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (550, 496, 300) = 2.

Given numbers are 550, 496, 300

The list of prime factors of all numbers are

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

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 550, 496, 300 is 2.

Given numbers are 550, 496, 300

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

Apply this formula for all numbers.

Step1:

LCM(550, 496) = 136400

GCD(550, 496) = ( 550 x 496 ) / 136400

= 550 / 496

= 550

Step2:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 550, 496, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 395, 666
• GCD of 137, 123, 993
• GCD of 198, 335, 752
• GCD of 472, 814, 503
• GCD of 815, 725, 836

Given numbers are 550, 496, 300
The greatest common divisor of numbers 550, 496, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 496, 300 is 2.

1. What is the GCD of 550, 496, 300?

GCD of given numbers 550, 496, 300 is 2

2. How to calculate the greatest common divisor of 550, 496, 300?

We can find the highest common divisor of 550, 496, 300 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 550, 496, 300 i.e 2.

3. How can I use the GCD of 550, 496, 300Calculator?

Out the numbers 550, 496, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.