GCD of 609, 225, 294, 117 Calculator

Given Input numbers are 609, 225, 294, 117

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

Divisors of 609 :

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

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

Divisors of 225 :

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

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

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (609, 225, 294, 117) = 3.

Given numbers are 609, 225, 294, 117

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

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

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 117 are 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 609, 225, 294, 117 is 3.

Given numbers are 609, 225, 294, 117

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

Apply this formula for all numbers.

Step1:

LCM(609, 225) = 45675

GCD(609, 225) = ( 609 x 225 ) / 45675

= 609 / 225

= 609

Step2:

LCM(3, 294) = 294

GCD(3, 294) = ( 3 x 294 ) / 294

= 3 / 294

= 3

Step3:

LCM(3, 117) = 117

GCD(3, 117) = ( 3 x 117 ) / 117

= 3 / 117

= 3

So, Greatest Common Divisor of 609, 225, 294, 117 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 565, 381, 431
• GCD of 275, 219, 459, 664
• GCD of 512, 528, 241, 665
• GCD of 811, 645, 106, 754
• GCD of 521, 846, 939, 694

Given numbers are 609, 225, 294, 117
The greatest common divisor of numbers 609, 225, 294, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 225, 294, 117 is 3.

1. What is the GCD of 609, 225, 294, 117?

GCD of given numbers 609, 225, 294, 117 is 3

2. How to calculate the greatest common divisor of 609, 225, 294, 117?

We can find the highest common divisor of 609, 225, 294, 117 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 609, 225, 294, 117 i.e 3.

3. How can I use the GCD of 609, 225, 294, 117Calculator?

Out the numbers 609, 225, 294, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.