GCD of 230, 732, 722, 724 Calculator

Given Input numbers are 230, 732, 722, 724

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

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (230, 732, 722, 724) = 2.

Given numbers are 230, 732, 722, 724

The list of prime factors of all numbers are

Prime factors of 230 are 2 x 5 x 23

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 722 are 2 x 19 x 19

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 230, 732, 722, 724 is 2.

Given numbers are 230, 732, 722, 724

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

Apply this formula for all numbers.

Step1:

LCM(230, 732) = 84180

GCD(230, 732) = ( 230 x 732 ) / 84180

= 230 / 732

= 230

Step2:

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

= 2 / 722

= 2

Step3:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

So, Greatest Common Divisor of 230, 732, 722, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 642, 597, 600
• GCD of 867, 244, 890, 495
• GCD of 808, 731, 289, 111
• GCD of 600, 137, 490, 319
• GCD of 721, 388, 555, 981

Given numbers are 230, 732, 722, 724
The greatest common divisor of numbers 230, 732, 722, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 230, 732, 722, 724 is 2.

1. What is the GCD of 230, 732, 722, 724?

GCD of given numbers 230, 732, 722, 724 is 2

2. How to calculate the greatest common divisor of 230, 732, 722, 724?

We can find the highest common divisor of 230, 732, 722, 724 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 230, 732, 722, 724 i.e 2.

3. How can I use the GCD of 230, 732, 722, 724Calculator?

Out the numbers 230, 732, 722, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.