GCD of 114, 576, 723, 696 Calculator

Given Input numbers are 114, 576, 723, 696

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

GCD of numbers is the greatest common divisor

So, the GCD (114, 576, 723, 696) = 3.

Given numbers are 114, 576, 723, 696

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 723 are 3 x 241

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 114, 576, 723, 696 is 3.

Given numbers are 114, 576, 723, 696

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

Apply this formula for all numbers.

Step1:

LCM(114, 576) = 10944

GCD(114, 576) = ( 114 x 576 ) / 10944

= 114 / 576

= 114

Step2:

LCM(6, 723) = 1446

GCD(6, 723) = ( 6 x 723 ) / 1446

= 6 / 723

= 6

Step3:

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

= 3 / 696

= 3

So, Greatest Common Divisor of 114, 576, 723, 696 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 218, 560, 976
• GCD of 991, 947, 229, 726
• GCD of 314, 386, 462, 685
• GCD of 750, 892, 488, 552
• GCD of 906, 154, 353, 694

Given numbers are 114, 576, 723, 696
The greatest common divisor of numbers 114, 576, 723, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 576, 723, 696 is 3.

1. What is the GCD of 114, 576, 723, 696?

GCD of given numbers 114, 576, 723, 696 is 3

2. How to calculate the greatest common divisor of 114, 576, 723, 696?

We can find the highest common divisor of 114, 576, 723, 696 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 114, 576, 723, 696 i.e 3.

3. How can I use the GCD of 114, 576, 723, 696Calculator?

Out the numbers 114, 576, 723, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.