GCD of 480, 494, 550, 310 Calculator

Given Input numbers are 480, 494, 550, 310

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

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 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (480, 494, 550, 310) = 2.

Given numbers are 480, 494, 550, 310

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 494 are 2 x 13 x 19

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

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 480, 494, 550, 310 is 2.

Given numbers are 480, 494, 550, 310

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

Apply this formula for all numbers.

Step1:

LCM(480, 494) = 118560

GCD(480, 494) = ( 480 x 494 ) / 118560

= 480 / 494

= 480

Step2:

LCM(2, 550) = 550

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

= 2 / 550

= 2

Step3:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

So, Greatest Common Divisor of 480, 494, 550, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 530, 589, 769
• GCD of 946, 939, 732, 436
• GCD of 518, 316, 491, 665
• GCD of 799, 596, 247, 712
• GCD of 352, 119, 543, 356

Given numbers are 480, 494, 550, 310
The greatest common divisor of numbers 480, 494, 550, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 494, 550, 310 is 2.

1. What is the GCD of 480, 494, 550, 310?

GCD of given numbers 480, 494, 550, 310 is 2

2. How to calculate the greatest common divisor of 480, 494, 550, 310?

We can find the highest common divisor of 480, 494, 550, 310 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 480, 494, 550, 310 i.e 2.

3. How can I use the GCD of 480, 494, 550, 310Calculator?

Out the numbers 480, 494, 550, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.