GCD of 480, 243, 256, 100 Calculator

Given Input numbers are 480, 243, 256, 100

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

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 243 :

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

1, 3, 9, 27, 81, 243

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (480, 243, 256, 100) = 1.

Given numbers are 480, 243, 256, 100

The list of prime factors of all numbers are

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

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

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 100 are 2 x 2 x 5 x 5

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

Given numbers are 480, 243, 256, 100

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

Apply this formula for all numbers.

Step1:

LCM(480, 243) = 38880

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

= 480 / 243

= 480

Step2:

LCM(3, 256) = 768

GCD(3, 256) = ( 3 x 256 ) / 768

= 3 / 256

= 3

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 480, 243, 256, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 630, 244, 651
• GCD of 132, 293, 476, 374
• GCD of 879, 812, 518, 315
• GCD of 535, 502, 554, 702
• GCD of 893, 107, 749, 920

Given numbers are 480, 243, 256, 100
The greatest common divisor of numbers 480, 243, 256, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 243, 256, 100 is 1.

1. What is the GCD of 480, 243, 256, 100?

GCD of given numbers 480, 243, 256, 100 is 1

2. How to calculate the greatest common divisor of 480, 243, 256, 100?

We can find the highest common divisor of 480, 243, 256, 100 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 480, 243, 256, 100 i.e 1.

3. How can I use the GCD of 480, 243, 256, 100Calculator?

Out the numbers 480, 243, 256, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.