GCD of 243, 480, 195, 654 Calculator

Given Input numbers are 243, 480, 195, 654

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

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (243, 480, 195, 654) = 3.

Given numbers are 243, 480, 195, 654

The list of prime factors of all numbers are

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 195 are 3 x 5 x 13

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 3¹

Therefore, GCD of 243, 480, 195, 654 is 3.

Given numbers are 243, 480, 195, 654

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

Apply this formula for all numbers.

Step1:

LCM(243, 480) = 38880

GCD(243, 480) = ( 243 x 480 ) / 38880

= 243 / 480

= 243

Step2:

LCM(3, 195) = 195

GCD(3, 195) = ( 3 x 195 ) / 195

= 3 / 195

= 3

Step3:

LCM(3, 654) = 654

GCD(3, 654) = ( 3 x 654 ) / 654

= 3 / 654

= 3

So, Greatest Common Divisor of 243, 480, 195, 654 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 136, 779, 930
• GCD of 838, 531, 658, 111
• GCD of 235, 102, 811, 354
• GCD of 291, 428, 674, 741
• GCD of 284, 880, 154, 166

Given numbers are 243, 480, 195, 654
The greatest common divisor of numbers 243, 480, 195, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 480, 195, 654 is 3.

1. What is the GCD of 243, 480, 195, 654?

GCD of given numbers 243, 480, 195, 654 is 3

2. How to calculate the greatest common divisor of 243, 480, 195, 654?

We can find the highest common divisor of 243, 480, 195, 654 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 243, 480, 195, 654 i.e 3.

3. How can I use the GCD of 243, 480, 195, 654Calculator?

Out the numbers 243, 480, 195, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.