GCD of 309, 609, 763, 225 Calculator

Given Input numbers are 309, 609, 763, 225

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (309, 609, 763, 225) = 1.

Given numbers are 309, 609, 763, 225

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 609 are 3 x 7 x 29

Prime factors of 763 are 7 x 109

Prime factors of 225 are 3 x 3 x 5 x 5

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

Given numbers are 309, 609, 763, 225

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

Apply this formula for all numbers.

Step1:

LCM(309, 609) = 62727

GCD(309, 609) = ( 309 x 609 ) / 62727

= 309 / 609

= 309

Step2:

LCM(3, 763) = 2289

GCD(3, 763) = ( 3 x 763 ) / 2289

= 3 / 763

= 3

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 309, 609, 763, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 121, 537, 927
• GCD of 359, 551, 431, 986
• GCD of 743, 711, 263, 337
• GCD of 371, 350, 755, 957
• GCD of 659, 244, 446, 565

Given numbers are 309, 609, 763, 225
The greatest common divisor of numbers 309, 609, 763, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 609, 763, 225 is 1.

1. What is the GCD of 309, 609, 763, 225?

GCD of given numbers 309, 609, 763, 225 is 1

2. How to calculate the greatest common divisor of 309, 609, 763, 225?

We can find the highest common divisor of 309, 609, 763, 225 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 309, 609, 763, 225 i.e 1.

3. How can I use the GCD of 309, 609, 763, 225Calculator?

Out the numbers 309, 609, 763, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.