GCD of 489, 574, 729, 100 Calculator

Given Input numbers are 489, 574, 729, 100

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (489, 574, 729, 100) = 1.

Given numbers are 489, 574, 729, 100

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 574 are 2 x 7 x 41

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 100 are 2 x 2 x 5 x 5

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

Given numbers are 489, 574, 729, 100

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

Apply this formula for all numbers.

Step1:

LCM(489, 574) = 280686

GCD(489, 574) = ( 489 x 574 ) / 280686

= 489 / 574

= 489

Step2:

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

= 1 / 729

= 1

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 489, 574, 729, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 412, 615, 417
• GCD of 140, 308, 655, 244
• GCD of 400, 882, 353, 923
• GCD of 458, 587, 487, 119
• GCD of 805, 195, 363, 383

Given numbers are 489, 574, 729, 100
The greatest common divisor of numbers 489, 574, 729, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 574, 729, 100 is 1.

1. What is the GCD of 489, 574, 729, 100?

GCD of given numbers 489, 574, 729, 100 is 1

2. How to calculate the greatest common divisor of 489, 574, 729, 100?

We can find the highest common divisor of 489, 574, 729, 100 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 489, 574, 729, 100 i.e 1.

3. How can I use the GCD of 489, 574, 729, 100Calculator?

Out the numbers 489, 574, 729, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.