GCD of 300, 369, 612, 497 Calculator

Given Input numbers are 300, 369, 612, 497

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

GCD of numbers is the greatest common divisor

So, the GCD (300, 369, 612, 497) = 1.

Given numbers are 300, 369, 612, 497

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 369 are 3 x 3 x 41

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 497 are 7 x 71

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

Given numbers are 300, 369, 612, 497

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

Apply this formula for all numbers.

Step1:

LCM(300, 369) = 36900

GCD(300, 369) = ( 300 x 369 ) / 36900

= 300 / 369

= 300

Step2:

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

= 3 / 612

= 3

Step3:

LCM(3, 497) = 1491

GCD(3, 497) = ( 3 x 497 ) / 1491

= 3 / 497

= 3

So, Greatest Common Divisor of 300, 369, 612, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 452, 372, 458
• GCD of 587, 205, 527, 820
• GCD of 928, 499, 534, 818
• GCD of 473, 363, 658, 961
• GCD of 301, 828, 397, 611

Given numbers are 300, 369, 612, 497
The greatest common divisor of numbers 300, 369, 612, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 369, 612, 497 is 1.

1. What is the GCD of 300, 369, 612, 497?

GCD of given numbers 300, 369, 612, 497 is 1

2. How to calculate the greatest common divisor of 300, 369, 612, 497?

We can find the highest common divisor of 300, 369, 612, 497 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 300, 369, 612, 497 i.e 1.

3. How can I use the GCD of 300, 369, 612, 497Calculator?

Out the numbers 300, 369, 612, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.