GCD of 999, 960, 920, 109 Calculator

Given Input numbers are 999, 960, 920, 109

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

Divisors of 999 :

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

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

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (999, 960, 920, 109) = 1.

Given numbers are 999, 960, 920, 109

The list of prime factors of all numbers are

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

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

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 109 are 109

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 999, 960, 920, 109

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

Apply this formula for all numbers.

Step1:

LCM(999, 960) = 319680

GCD(999, 960) = ( 999 x 960 ) / 319680

= 999 / 960

= 999

Step2:

LCM(3, 920) = 2760

GCD(3, 920) = ( 3 x 920 ) / 2760

= 3 / 920

= 3

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 999, 960, 920, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 603, 995, 337
• GCD of 176, 693, 172, 889
• GCD of 380, 514, 484, 460
• GCD of 558, 285, 964, 871
• GCD of 701, 588, 457, 637

Given numbers are 999, 960, 920, 109
The greatest common divisor of numbers 999, 960, 920, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 960, 920, 109 is 1.

1. What is the GCD of 999, 960, 920, 109?

GCD of given numbers 999, 960, 920, 109 is 1

2. How to calculate the greatest common divisor of 999, 960, 920, 109?

We can find the highest common divisor of 999, 960, 920, 109 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 999, 960, 920, 109 i.e 1.

3. How can I use the GCD of 999, 960, 920, 109Calculator?

Out the numbers 999, 960, 920, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.