GCD of 908, 144, 486, 723 Calculator

Given Input numbers are 908, 144, 486, 723

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

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 723 :

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

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (908, 144, 486, 723) = 1.

Given numbers are 908, 144, 486, 723

The list of prime factors of all numbers are

Prime factors of 908 are 2 x 2 x 227

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 723 are 3 x 241

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

Given numbers are 908, 144, 486, 723

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

Apply this formula for all numbers.

Step1:

LCM(908, 144) = 32688

GCD(908, 144) = ( 908 x 144 ) / 32688

= 908 / 144

= 908

Step2:

LCM(4, 486) = 972

GCD(4, 486) = ( 4 x 486 ) / 972

= 4 / 486

= 4

Step3:

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

= 2 / 723

= 2

So, Greatest Common Divisor of 908, 144, 486, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 201, 941, 724
• GCD of 113, 683, 463, 291
• GCD of 727, 244, 787, 658
• GCD of 627, 423, 189, 812
• GCD of 664, 274, 622, 675

Given numbers are 908, 144, 486, 723
The greatest common divisor of numbers 908, 144, 486, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 144, 486, 723 is 1.

1. What is the GCD of 908, 144, 486, 723?

GCD of given numbers 908, 144, 486, 723 is 1

2. How to calculate the greatest common divisor of 908, 144, 486, 723?

We can find the highest common divisor of 908, 144, 486, 723 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 908, 144, 486, 723 i.e 1.

3. How can I use the GCD of 908, 144, 486, 723Calculator?

Out the numbers 908, 144, 486, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.