GCD of 288, 695, 412, 728 Calculator

Given Input numbers are 288, 695, 412, 728

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

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

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (288, 695, 412, 728) = 1.

Given numbers are 288, 695, 412, 728

The list of prime factors of all numbers are

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

Prime factors of 695 are 5 x 139

Prime factors of 412 are 2 x 2 x 103

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 288, 695, 412, 728

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

Apply this formula for all numbers.

Step1:

LCM(288, 695) = 200160

GCD(288, 695) = ( 288 x 695 ) / 200160

= 288 / 695

= 288

Step2:

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

= 1 / 412

= 1

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 288, 695, 412, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 355, 339, 782
• GCD of 714, 992, 678, 521
• GCD of 781, 137, 946, 628
• GCD of 106, 947, 631, 661
• GCD of 260, 356, 941, 727

Given numbers are 288, 695, 412, 728
The greatest common divisor of numbers 288, 695, 412, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 695, 412, 728 is 1.

1. What is the GCD of 288, 695, 412, 728?

GCD of given numbers 288, 695, 412, 728 is 1

2. How to calculate the greatest common divisor of 288, 695, 412, 728?

We can find the highest common divisor of 288, 695, 412, 728 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 288, 695, 412, 728 i.e 1.

3. How can I use the GCD of 288, 695, 412, 728Calculator?

Out the numbers 288, 695, 412, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.