GCD of 750, 384, 446, 820 Calculator

Given Input numbers are 750, 384, 446, 820

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

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 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

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (750, 384, 446, 820) = 2.

Given numbers are 750, 384, 446, 820

The list of prime factors of all numbers are

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

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

Prime factors of 446 are 2 x 223

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2¹

Therefore, GCD of 750, 384, 446, 820 is 2.

Given numbers are 750, 384, 446, 820

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

Apply this formula for all numbers.

Step1:

LCM(750, 384) = 48000

GCD(750, 384) = ( 750 x 384 ) / 48000

= 750 / 384

= 750

Step2:

LCM(6, 446) = 1338

GCD(6, 446) = ( 6 x 446 ) / 1338

= 6 / 446

= 6

Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

So, Greatest Common Divisor of 750, 384, 446, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 733, 154, 700
• GCD of 470, 644, 897, 374
• GCD of 865, 843, 193, 565
• GCD of 353, 544, 861, 222
• GCD of 560, 402, 512, 715

Given numbers are 750, 384, 446, 820
The greatest common divisor of numbers 750, 384, 446, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 384, 446, 820 is 2.

1. What is the GCD of 750, 384, 446, 820?

GCD of given numbers 750, 384, 446, 820 is 2

2. How to calculate the greatest common divisor of 750, 384, 446, 820?

We can find the highest common divisor of 750, 384, 446, 820 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 750, 384, 446, 820 i.e 2.

3. How can I use the GCD of 750, 384, 446, 820Calculator?

Out the numbers 750, 384, 446, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.