GCD of 288, 748, 243, 613 Calculator

Given Input numbers are 288, 748, 243, 613

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 613 :

The positive integer divisors of 613 that completely divides 613 are.

1, 613

GCD of numbers is the greatest common divisor

So, the GCD (288, 748, 243, 613) = 1.

Given numbers are 288, 748, 243, 613

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 748 are 2 x 2 x 11 x 17

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 613 are 613

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

Given numbers are 288, 748, 243, 613

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

Apply this formula for all numbers.

Step1:

LCM(288, 748) = 53856

GCD(288, 748) = ( 288 x 748 ) / 53856

= 288 / 748

= 288

Step2:

LCM(4, 243) = 972

GCD(4, 243) = ( 4 x 243 ) / 972

= 4 / 243

= 4

Step3:

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

= 1 / 613

= 1

So, Greatest Common Divisor of 288, 748, 243, 613 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 257, 453, 214
• GCD of 605, 675, 725, 405
• GCD of 683, 429, 293, 938
• GCD of 543, 880, 308, 728
• GCD of 340, 870, 363, 152

Given numbers are 288, 748, 243, 613
The greatest common divisor of numbers 288, 748, 243, 613 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 748, 243, 613 is 1.

1. What is the GCD of 288, 748, 243, 613?

GCD of given numbers 288, 748, 243, 613 is 1

2. How to calculate the greatest common divisor of 288, 748, 243, 613?

We can find the highest common divisor of 288, 748, 243, 613 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, 748, 243, 613 i.e 1.

3. How can I use the GCD of 288, 748, 243, 613Calculator?

Out the numbers 288, 748, 243, 613 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.