GCD of 963, 999, 750, 171 Calculator

Given Input numbers are 963, 999, 750, 171

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

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

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 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (963, 999, 750, 171) = 3.

Given numbers are 963, 999, 750, 171

The list of prime factors of all numbers are

Prime factors of 963 are 3 x 3 x 107

Prime factors of 999 are 3 x 3 x 3 x 37

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

Prime factors of 171 are 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 963, 999, 750, 171 is 3.

Given numbers are 963, 999, 750, 171

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

Apply this formula for all numbers.

Step1:

LCM(963, 999) = 106893

GCD(963, 999) = ( 963 x 999 ) / 106893

= 963 / 999

= 963

Step2:

LCM(9, 750) = 2250

GCD(9, 750) = ( 9 x 750 ) / 2250

= 9 / 750

= 9

Step3:

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

= 3 / 171

= 3

So, Greatest Common Divisor of 963, 999, 750, 171 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 561, 695, 612
• GCD of 250, 248, 989, 317
• GCD of 960, 299, 245, 884
• GCD of 616, 666, 416, 391
• GCD of 227, 568, 259, 764

Given numbers are 963, 999, 750, 171
The greatest common divisor of numbers 963, 999, 750, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 963, 999, 750, 171 is 3.

1. What is the GCD of 963, 999, 750, 171?

GCD of given numbers 963, 999, 750, 171 is 3

2. How to calculate the greatest common divisor of 963, 999, 750, 171?

We can find the highest common divisor of 963, 999, 750, 171 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 963, 999, 750, 171 i.e 3.

3. How can I use the GCD of 963, 999, 750, 171Calculator?

Out the numbers 963, 999, 750, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.