GCD of 990, 969, 528, 960 Calculator

Given Input numbers are 990, 969, 528, 960

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

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

GCD of numbers is the greatest common divisor

So, the GCD (990, 969, 528, 960) = 3.

Given numbers are 990, 969, 528, 960

The list of prime factors of all numbers are

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

Prime factors of 969 are 3 x 17 x 19

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

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

The highest common occurrence is 3¹

Therefore, GCD of 990, 969, 528, 960 is 3.

Given numbers are 990, 969, 528, 960

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

Apply this formula for all numbers.

Step1:

LCM(990, 969) = 319770

GCD(990, 969) = ( 990 x 969 ) / 319770

= 990 / 969

= 990

Step2:

LCM(3, 528) = 528

GCD(3, 528) = ( 3 x 528 ) / 528

= 3 / 528

= 3

Step3:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

So, Greatest Common Divisor of 990, 969, 528, 960 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 951, 839, 318
• GCD of 670, 891, 342, 789
• GCD of 504, 150, 871, 736
• GCD of 954, 980, 569, 771
• GCD of 835, 998, 217, 379

Given numbers are 990, 969, 528, 960
The greatest common divisor of numbers 990, 969, 528, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 969, 528, 960 is 3.

1. What is the GCD of 990, 969, 528, 960?

GCD of given numbers 990, 969, 528, 960 is 3

2. How to calculate the greatest common divisor of 990, 969, 528, 960?

We can find the highest common divisor of 990, 969, 528, 960 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 990, 969, 528, 960 i.e 3.

3. How can I use the GCD of 990, 969, 528, 960Calculator?

Out the numbers 990, 969, 528, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.