GCD of 305, 750, 824, 384 Calculator

Given Input numbers are 305, 750, 824, 384

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

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (305, 750, 824, 384) = 1.

Given numbers are 305, 750, 824, 384

The list of prime factors of all numbers are

Prime factors of 305 are 5 x 61

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Given numbers are 305, 750, 824, 384

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

Apply this formula for all numbers.

Step1:

LCM(305, 750) = 45750

GCD(305, 750) = ( 305 x 750 ) / 45750

= 305 / 750

= 305

Step2:

LCM(5, 824) = 4120

GCD(5, 824) = ( 5 x 824 ) / 4120

= 5 / 824

= 5

Step3:

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

= 1 / 384

= 1

So, Greatest Common Divisor of 305, 750, 824, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 547, 693, 462
• GCD of 508, 626, 303, 905
• GCD of 971, 576, 715, 265
• GCD of 831, 947, 709, 498
• GCD of 622, 995, 938, 722

Given numbers are 305, 750, 824, 384
The greatest common divisor of numbers 305, 750, 824, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 305, 750, 824, 384 is 1.

1. What is the GCD of 305, 750, 824, 384?

GCD of given numbers 305, 750, 824, 384 is 1

2. How to calculate the greatest common divisor of 305, 750, 824, 384?

We can find the highest common divisor of 305, 750, 824, 384 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 305, 750, 824, 384 i.e 1.

3. How can I use the GCD of 305, 750, 824, 384Calculator?

Out the numbers 305, 750, 824, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.