GCD of 876, 750, 600, 990 Calculator

Given Input numbers are 876, 750, 600, 990

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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 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 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (876, 750, 600, 990) = 6.

Given numbers are 876, 750, 600, 990

The list of prime factors of all numbers are

Prime factors of 876 are 2 x 2 x 3 x 73

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

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

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 876, 750, 600, 990 is 6.

Given numbers are 876, 750, 600, 990

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

Apply this formula for all numbers.

Step1:

LCM(876, 750) = 109500

GCD(876, 750) = ( 876 x 750 ) / 109500

= 876 / 750

= 876

Step2:

LCM(6, 600) = 600

GCD(6, 600) = ( 6 x 600 ) / 600

= 6 / 600

= 6

Step3:

LCM(6, 990) = 990

GCD(6, 990) = ( 6 x 990 ) / 990

= 6 / 990

= 6

So, Greatest Common Divisor of 876, 750, 600, 990 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 615, 406, 709
• GCD of 842, 840, 723, 176
• GCD of 536, 381, 458, 750
• GCD of 401, 596, 861, 138
• GCD of 462, 349, 718, 595

Given numbers are 876, 750, 600, 990
The greatest common divisor of numbers 876, 750, 600, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 750, 600, 990 is 6.

1. What is the GCD of 876, 750, 600, 990?

GCD of given numbers 876, 750, 600, 990 is 6

2. How to calculate the greatest common divisor of 876, 750, 600, 990?

We can find the highest common divisor of 876, 750, 600, 990 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 876, 750, 600, 990 i.e 6.

3. How can I use the GCD of 876, 750, 600, 990Calculator?

Out the numbers 876, 750, 600, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.