GCD of 600, 768, 960, 750 Calculator

Given Input numbers are 600, 768, 960, 750

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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

GCD of numbers is the greatest common divisor

So, the GCD (600, 768, 960, 750) = 6.

Given numbers are 600, 768, 960, 750

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 600, 768, 960, 750 is 6.

Given numbers are 600, 768, 960, 750

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

Apply this formula for all numbers.

Step1:

LCM(600, 768) = 19200

GCD(600, 768) = ( 600 x 768 ) / 19200

= 600 / 768

= 600

Step2:

LCM(24, 960) = 960

GCD(24, 960) = ( 24 x 960 ) / 960

= 24 / 960

= 24

Step3:

LCM(24, 750) = 3000

GCD(24, 750) = ( 24 x 750 ) / 3000

= 24 / 750

= 24

So, Greatest Common Divisor of 600, 768, 960, 750 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 816, 272, 177
• GCD of 740, 685, 360, 809
• GCD of 586, 463, 542, 782
• GCD of 509, 187, 184, 110
• GCD of 181, 515, 567, 800

Given numbers are 600, 768, 960, 750
The greatest common divisor of numbers 600, 768, 960, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 768, 960, 750 is 6.

1. What is the GCD of 600, 768, 960, 750?

GCD of given numbers 600, 768, 960, 750 is 6

2. How to calculate the greatest common divisor of 600, 768, 960, 750?

We can find the highest common divisor of 600, 768, 960, 750 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 600, 768, 960, 750 i.e 6.

3. How can I use the GCD of 600, 768, 960, 750Calculator?

Out the numbers 600, 768, 960, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.