GCD of 723, 693, 864, 507 Calculator

Given Input numbers are 723, 693, 864, 507

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

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 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 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (723, 693, 864, 507) = 3.

Given numbers are 723, 693, 864, 507

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

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

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

Prime factors of 507 are 3 x 13 x 13

The highest common occurrence is 3¹

Therefore, GCD of 723, 693, 864, 507 is 3.

Given numbers are 723, 693, 864, 507

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

Apply this formula for all numbers.

Step1:

LCM(723, 693) = 167013

GCD(723, 693) = ( 723 x 693 ) / 167013

= 723 / 693

= 723

Step2:

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

= 3 / 864

= 3

Step3:

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

= 3 / 507

= 3

So, Greatest Common Divisor of 723, 693, 864, 507 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 730, 334, 505
• GCD of 987, 293, 892, 885
• GCD of 927, 196, 308, 271
• GCD of 976, 267, 803, 347
• GCD of 541, 986, 849, 383

Given numbers are 723, 693, 864, 507
The greatest common divisor of numbers 723, 693, 864, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 693, 864, 507 is 3.

1. What is the GCD of 723, 693, 864, 507?

GCD of given numbers 723, 693, 864, 507 is 3

2. How to calculate the greatest common divisor of 723, 693, 864, 507?

We can find the highest common divisor of 723, 693, 864, 507 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 723, 693, 864, 507 i.e 3.

3. How can I use the GCD of 723, 693, 864, 507Calculator?

Out the numbers 723, 693, 864, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.