GCD of 999, 294, 369, 252 Calculator

Given Input numbers are 999, 294, 369, 252

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 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (999, 294, 369, 252) = 3.

Given numbers are 999, 294, 369, 252

The list of prime factors of all numbers are

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

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 369 are 3 x 3 x 41

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 999, 294, 369, 252 is 3.

Given numbers are 999, 294, 369, 252

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

Apply this formula for all numbers.

Step1:

LCM(999, 294) = 97902

GCD(999, 294) = ( 999 x 294 ) / 97902

= 999 / 294

= 999

Step2:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3

Step3:

LCM(3, 252) = 252

GCD(3, 252) = ( 3 x 252 ) / 252

= 3 / 252

= 3

So, Greatest Common Divisor of 999, 294, 369, 252 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 122, 319, 665
• GCD of 549, 187, 860, 673
• GCD of 602, 543, 882, 426
• GCD of 151, 889, 901, 493
• GCD of 773, 721, 671, 620

Given numbers are 999, 294, 369, 252
The greatest common divisor of numbers 999, 294, 369, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 294, 369, 252 is 3.

1. What is the GCD of 999, 294, 369, 252?

GCD of given numbers 999, 294, 369, 252 is 3

2. How to calculate the greatest common divisor of 999, 294, 369, 252?

We can find the highest common divisor of 999, 294, 369, 252 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, 294, 369, 252 i.e 3.

3. How can I use the GCD of 999, 294, 369, 252Calculator?

Out the numbers 999, 294, 369, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.