GCD of 993, 285, 747, 756 Calculator

Given Input numbers are 993, 285, 747, 756

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

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (993, 285, 747, 756) = 3.

Given numbers are 993, 285, 747, 756

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

Prime factors of 285 are 3 x 5 x 19

Prime factors of 747 are 3 x 3 x 83

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 993, 285, 747, 756 is 3.

Given numbers are 993, 285, 747, 756

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

Apply this formula for all numbers.

Step1:

LCM(993, 285) = 94335

GCD(993, 285) = ( 993 x 285 ) / 94335

= 993 / 285

= 993

Step2:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

Step3:

LCM(3, 756) = 756

GCD(3, 756) = ( 3 x 756 ) / 756

= 3 / 756

= 3

So, Greatest Common Divisor of 993, 285, 747, 756 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 256, 359, 246
• GCD of 187, 922, 786, 751
• GCD of 354, 208, 767, 581
• GCD of 254, 333, 170, 332
• GCD of 974, 407, 364, 919

Given numbers are 993, 285, 747, 756
The greatest common divisor of numbers 993, 285, 747, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 285, 747, 756 is 3.

1. What is the GCD of 993, 285, 747, 756?

GCD of given numbers 993, 285, 747, 756 is 3

2. How to calculate the greatest common divisor of 993, 285, 747, 756?

We can find the highest common divisor of 993, 285, 747, 756 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 993, 285, 747, 756 i.e 3.

3. How can I use the GCD of 993, 285, 747, 756Calculator?

Out the numbers 993, 285, 747, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.