GCD of 480, 744, 470, 249 Calculator

Given Input numbers are 480, 744, 470, 249

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 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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

GCD of numbers is the greatest common divisor

So, the GCD (480, 744, 470, 249) = 1.

Given numbers are 480, 744, 470, 249

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 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 470 are 2 x 5 x 47

Prime factors of 249 are 3 x 83

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 480, 744, 470, 249

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

Apply this formula for all numbers.

Step1:

LCM(480, 744) = 14880

GCD(480, 744) = ( 480 x 744 ) / 14880

= 480 / 744

= 480

Step2:

LCM(24, 470) = 5640

GCD(24, 470) = ( 24 x 470 ) / 5640

= 24 / 470

= 24

Step3:

LCM(2, 249) = 498

GCD(2, 249) = ( 2 x 249 ) / 498

= 2 / 249

= 2

So, Greatest Common Divisor of 480, 744, 470, 249 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 881, 883, 627, 951
• GCD of 494, 345, 717, 717
• GCD of 341, 602, 785, 267
• GCD of 838, 647, 130, 342
• GCD of 486, 588, 860, 944

Given numbers are 480, 744, 470, 249
The greatest common divisor of numbers 480, 744, 470, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 744, 470, 249 is 1.

1. What is the GCD of 480, 744, 470, 249?

GCD of given numbers 480, 744, 470, 249 is 1

2. How to calculate the greatest common divisor of 480, 744, 470, 249?

We can find the highest common divisor of 480, 744, 470, 249 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, 744, 470, 249 i.e 1.

3. How can I use the GCD of 480, 744, 470, 249Calculator?

Out the numbers 480, 744, 470, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.