GCD of 693, 591, 990, 288 Calculator

Given Input numbers are 693, 591, 990, 288

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

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

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 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (693, 591, 990, 288) = 3.

Given numbers are 693, 591, 990, 288

The list of prime factors of all numbers are

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 591 are 3 x 197

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

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 693, 591, 990, 288 is 3.

Given numbers are 693, 591, 990, 288

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

Apply this formula for all numbers.

Step1:

LCM(693, 591) = 136521

GCD(693, 591) = ( 693 x 591 ) / 136521

= 693 / 591

= 693

Step2:

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

= 3 / 990

= 3

Step3:

LCM(3, 288) = 288

GCD(3, 288) = ( 3 x 288 ) / 288

= 3 / 288

= 3

So, Greatest Common Divisor of 693, 591, 990, 288 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 362, 469, 572
• GCD of 403, 258, 263, 947
• GCD of 641, 171, 173, 319
• GCD of 415, 176, 350, 538
• GCD of 638, 956, 443, 219

Given numbers are 693, 591, 990, 288
The greatest common divisor of numbers 693, 591, 990, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 591, 990, 288 is 3.

1. What is the GCD of 693, 591, 990, 288?

GCD of given numbers 693, 591, 990, 288 is 3

2. How to calculate the greatest common divisor of 693, 591, 990, 288?

We can find the highest common divisor of 693, 591, 990, 288 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 693, 591, 990, 288 i.e 3.

3. How can I use the GCD of 693, 591, 990, 288Calculator?

Out the numbers 693, 591, 990, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.