GCD of 189, 409, 300, 624 Calculator

Given Input numbers are 189, 409, 300, 624

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

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 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (189, 409, 300, 624) = 1.

Given numbers are 189, 409, 300, 624

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 409 are 409

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

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

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

Given numbers are 189, 409, 300, 624

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

Apply this formula for all numbers.

Step1:

LCM(189, 409) = 77301

GCD(189, 409) = ( 189 x 409 ) / 77301

= 189 / 409

= 189

Step2:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

Step3:

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

= 1 / 624

= 1

So, Greatest Common Divisor of 189, 409, 300, 624 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 763, 453, 969
• GCD of 599, 279, 592, 975
• GCD of 268, 135, 717, 463
• GCD of 423, 547, 877, 425
• GCD of 612, 556, 409, 385

Given numbers are 189, 409, 300, 624
The greatest common divisor of numbers 189, 409, 300, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 409, 300, 624 is 1.

1. What is the GCD of 189, 409, 300, 624?

GCD of given numbers 189, 409, 300, 624 is 1

2. How to calculate the greatest common divisor of 189, 409, 300, 624?

We can find the highest common divisor of 189, 409, 300, 624 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 189, 409, 300, 624 i.e 1.

3. How can I use the GCD of 189, 409, 300, 624Calculator?

Out the numbers 189, 409, 300, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.