GCD of 744, 492, 288, 725 Calculator

Given Input numbers are 744, 492, 288, 725

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (744, 492, 288, 725) = 1.

Given numbers are 744, 492, 288, 725

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 492 are 2 x 2 x 3 x 41

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

Prime factors of 725 are 5 x 5 x 29

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

Given numbers are 744, 492, 288, 725

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

Apply this formula for all numbers.

Step1:

LCM(744, 492) = 30504

GCD(744, 492) = ( 744 x 492 ) / 30504

= 744 / 492

= 744

Step2:

LCM(12, 288) = 288

GCD(12, 288) = ( 12 x 288 ) / 288

= 12 / 288

= 12

Step3:

LCM(12, 725) = 8700

GCD(12, 725) = ( 12 x 725 ) / 8700

= 12 / 725

= 12

So, Greatest Common Divisor of 744, 492, 288, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 271, 282, 232
• GCD of 185, 850, 914, 277
• GCD of 159, 601, 109, 853
• GCD of 849, 123, 503, 779
• GCD of 544, 678, 968, 380

Given numbers are 744, 492, 288, 725
The greatest common divisor of numbers 744, 492, 288, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 492, 288, 725 is 1.

1. What is the GCD of 744, 492, 288, 725?

GCD of given numbers 744, 492, 288, 725 is 1

2. How to calculate the greatest common divisor of 744, 492, 288, 725?

We can find the highest common divisor of 744, 492, 288, 725 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 744, 492, 288, 725 i.e 1.

3. How can I use the GCD of 744, 492, 288, 725Calculator?

Out the numbers 744, 492, 288, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.