GCD of 483, 420, 447, 724 Calculator

Given Input numbers are 483, 420, 447, 724

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

Divisors of 483 :

The positive integer divisors of 483 that completely divides 483 are.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

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 (483, 420, 447, 724) = 1.

Given numbers are 483, 420, 447, 724

The list of prime factors of all numbers are

Prime factors of 483 are 3 x 7 x 23

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 447 are 3 x 149

Prime factors of 724 are 2 x 2 x 181

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

Given numbers are 483, 420, 447, 724

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

Apply this formula for all numbers.

Step1:

LCM(483, 420) = 9660

GCD(483, 420) = ( 483 x 420 ) / 9660

= 483 / 420

= 483

Step2:

LCM(21, 447) = 3129

GCD(21, 447) = ( 21 x 447 ) / 3129

= 21 / 447

= 21

Step3:

LCM(3, 724) = 2172

GCD(3, 724) = ( 3 x 724 ) / 2172

= 3 / 724

= 3

So, Greatest Common Divisor of 483, 420, 447, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 608, 581, 877
• GCD of 906, 261, 539, 687
• GCD of 704, 745, 107, 697
• GCD of 506, 212, 235, 739
• GCD of 130, 751, 353, 862

Given numbers are 483, 420, 447, 724
The greatest common divisor of numbers 483, 420, 447, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 483, 420, 447, 724 is 1.

1. What is the GCD of 483, 420, 447, 724?

GCD of given numbers 483, 420, 447, 724 is 1

2. How to calculate the greatest common divisor of 483, 420, 447, 724?

We can find the highest common divisor of 483, 420, 447, 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 483, 420, 447, 724 i.e 1.

3. How can I use the GCD of 483, 420, 447, 724Calculator?

Out the numbers 483, 420, 447, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.