GCD of 747, 864, 27, 693 Calculator

Given Input numbers are 747, 864, 27, 693

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

Divisors of 747 :

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

1, 3, 9, 83, 249, 747

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 27 :

The positive integer divisors of 27 that completely divides 27 are.

1, 3, 9, 27

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

GCD of numbers is the greatest common divisor

So, the GCD (747, 864, 27, 693) = 9.

Given numbers are 747, 864, 27, 693

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 27 are 3 x 3 x 3

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

The highest common occurrence is 3²

Therefore, GCD of 747, 864, 27, 693 is 9.

Given numbers are 747, 864, 27, 693

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

Apply this formula for all numbers.

Step1:

LCM(747, 864) = 71712

GCD(747, 864) = ( 747 x 864 ) / 71712

= 747 / 864

= 747

Step2:

LCM(9, 27) = 27

GCD(9, 27) = ( 9 x 27 ) / 27

= 9 / 27

= 9

Step3:

LCM(9, 693) = 693

GCD(9, 693) = ( 9 x 693 ) / 693

= 9 / 693

= 9

So, Greatest Common Divisor of 747, 864, 27, 693 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 268, 80, 739
• GCD of 200, 519, 29, 848
• GCD of 545, 393, 85, 517
• GCD of 125, 319, 50, 574
• GCD of 864, 938, 69, 239

Given numbers are 747, 864, 27, 693
The greatest common divisor of numbers 747, 864, 27, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 864, 27, 693 is 9.

1. What is the GCD of 747, 864, 27, 693?

GCD of given numbers 747, 864, 27, 693 is 9

2. How to calculate the greatest common divisor of 747, 864, 27, 693?

We can find the highest common divisor of 747, 864, 27, 693 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 747, 864, 27, 693 i.e 9.

3. How can I use the GCD of 747, 864, 27, 693Calculator?

Out the numbers 747, 864, 27, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.