GCD of 999, 309, 980, 182 Calculator

Given Input numbers are 999, 309, 980, 182

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

GCD of numbers is the greatest common divisor

So, the GCD (999, 309, 980, 182) = 1.

Given numbers are 999, 309, 980, 182

The list of prime factors of all numbers are

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

Prime factors of 309 are 3 x 103

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 182 are 2 x 7 x 13

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

Given numbers are 999, 309, 980, 182

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

Apply this formula for all numbers.

Step1:

LCM(999, 309) = 102897

GCD(999, 309) = ( 999 x 309 ) / 102897

= 999 / 309

= 999

Step2:

LCM(3, 980) = 2940

GCD(3, 980) = ( 3 x 980 ) / 2940

= 3 / 980

= 3

Step3:

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

= 1 / 182

= 1

So, Greatest Common Divisor of 999, 309, 980, 182 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 994, 778, 385
• GCD of 417, 966, 352, 218
• GCD of 402, 342, 407, 606
• GCD of 391, 289, 775, 298
• GCD of 361, 407, 756, 566

Given numbers are 999, 309, 980, 182
The greatest common divisor of numbers 999, 309, 980, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 309, 980, 182 is 1.

1. What is the GCD of 999, 309, 980, 182?

GCD of given numbers 999, 309, 980, 182 is 1

2. How to calculate the greatest common divisor of 999, 309, 980, 182?

We can find the highest common divisor of 999, 309, 980, 182 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, 309, 980, 182 i.e 1.

3. How can I use the GCD of 999, 309, 980, 182Calculator?

Out the numbers 999, 309, 980, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.